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Finding the Fourth Proportional to 10,506.66, 15,759.93 and 6,061.44

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Solution

The fourth proportional to 10,506.66, 15,759.93 and 6,061.44 is: 9,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.66 : 15,759.93 = 6,061.44 : x
  2. Step 2: Convert to fraction form
    10,506.66/15,759.93 = 6,061.44/x
  3. Step 3: Cross multiply
    10,506.66x = 15,759.93 × 6,061.44
  4. Step 4: Simplify right side
    10,506.66x = 95,527,870.10
  5. Step 5: Solve for x
    x = 95,527,870.10/10,506.66
  6. Step 6: Final answer
    x = 9,092.13

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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.