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Finding the Fourth Proportional to 10,539.90, 15,815.33 and 7,642.13

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Solution

The fourth proportional to 10,539.90, 15,815.33 and 7,642.13 is: 11,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.90 : 15,815.33 = 7,642.13 : x
  2. Step 2: Convert to fraction form
    10,539.90/15,815.33 = 7,642.13/x
  3. Step 3: Cross multiply
    10,539.90x = 15,815.33 × 7,642.13
  4. Step 4: Simplify right side
    10,539.90x = 120,862,690.57
  5. Step 5: Solve for x
    x = 120,862,690.57/10,539.90
  6. Step 6: Final answer
    x = 11,467.16

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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.