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Finding the Fourth Proportional to 10,696.32, 16,034.76 and 4,849.74

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Solution

The fourth proportional to 10,696.32, 16,034.76 and 4,849.74 is: 7,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.32 : 16,034.76 = 4,849.74 : x
  2. Step 2: Convert to fraction form
    10,696.32/16,034.76 = 4,849.74/x
  3. Step 3: Cross multiply
    10,696.32x = 16,034.76 × 4,849.74
  4. Step 4: Simplify right side
    10,696.32x = 77,764,416.96
  5. Step 5: Solve for x
    x = 77,764,416.96/10,696.32
  6. Step 6: Final answer
    x = 7,270.20

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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.