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Finding the Fourth Proportional to 7,796,946.92, 11,696,519.82 and 2,406,036.20

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Solution

The fourth proportional to 7,796,946.92, 11,696,519.82 and 2,406,036.20 is: 3,609,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796,946.92 : 11,696,519.82 = 2,406,036.20 : x
  2. Step 2: Convert to fraction form
    7,796,946.92/11,696,519.82 = 2,406,036.20/x
  3. Step 3: Cross multiply
    7,796,946.92x = 11,696,519.82 × 2,406,036.20
  4. Step 4: Simplify right side
    7,796,946.92x = 28,142,250,100,937.49
  5. Step 5: Solve for x
    x = 28,142,250,100,937.49/7,796,946.92
  6. Step 6: Final answer
    x = 3,609,393.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.