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Finding the Fourth Proportional to 10,053, 15,079.53 and 3,127.50

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Solution

The fourth proportional to 10,053, 15,079.53 and 3,127.50 is: 4,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053 : 15,079.53 = 3,127.50 : x
  2. Step 2: Convert to fraction form
    10,053/15,079.53 = 3,127.50/x
  3. Step 3: Cross multiply
    10,053x = 15,079.53 × 3,127.50
  4. Step 4: Simplify right side
    10,053x = 47,161,230.08
  5. Step 5: Solve for x
    x = 47,161,230.08/10,053
  6. Step 6: Final answer
    x = 4,691.26

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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.