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Finding the Fourth Proportional to 10,371.52, 15,557.76 and 4,528

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Solution

The fourth proportional to 10,371.52, 15,557.76 and 4,528 is: 6,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.52 : 15,557.76 = 4,528 : x
  2. Step 2: Convert to fraction form
    10,371.52/15,557.76 = 4,528/x
  3. Step 3: Cross multiply
    10,371.52x = 15,557.76 × 4,528
  4. Step 4: Simplify right side
    10,371.52x = 70,445,537.28
  5. Step 5: Solve for x
    x = 70,445,537.28/10,371.52
  6. Step 6: Final answer
    x = 6,792.21

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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.