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Finding the Fourth Proportional to 11,378.76, 15,702.16 and 6,343.53

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Solution

The fourth proportional to 11,378.76, 15,702.16 and 6,343.53 is: 8,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.76 : 15,702.16 = 6,343.53 : x
  2. Step 2: Convert to fraction form
    11,378.76/15,702.16 = 6,343.53/x
  3. Step 3: Cross multiply
    11,378.76x = 15,702.16 × 6,343.53
  4. Step 4: Simplify right side
    11,378.76x = 99,607,123.02
  5. Step 5: Solve for x
    x = 99,607,123.02/11,378.76
  6. Step 6: Final answer
    x = 8,753.78

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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.