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Finding the Fourth Proportional to 10,534.52, 15,792.01 and 3,965.06

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Solution

The fourth proportional to 10,534.52, 15,792.01 and 3,965.06 is: 5,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.52 : 15,792.01 = 3,965.06 : x
  2. Step 2: Convert to fraction form
    10,534.52/15,792.01 = 3,965.06/x
  3. Step 3: Cross multiply
    10,534.52x = 15,792.01 × 3,965.06
  4. Step 4: Simplify right side
    10,534.52x = 62,616,267.17
  5. Step 5: Solve for x
    x = 62,616,267.17/10,534.52
  6. Step 6: Final answer
    x = 5,943.91

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