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Finding the Fourth Proportional to 11,342.57, 15,652.46 and 6,306.53

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Solution

The fourth proportional to 11,342.57, 15,652.46 and 6,306.53 is: 8,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.57 : 15,652.46 = 6,306.53 : x
  2. Step 2: Convert to fraction form
    11,342.57/15,652.46 = 6,306.53/x
  3. Step 3: Cross multiply
    11,342.57x = 15,652.46 × 6,306.53
  4. Step 4: Simplify right side
    11,342.57x = 98,712,677.03
  5. Step 5: Solve for x
    x = 98,712,677.03/11,342.57
  6. Step 6: Final answer
    x = 8,702.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.