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Finding the Fourth Proportional to 11,416.96, 15,753.72 and 6,702.76

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Solution

The fourth proportional to 11,416.96, 15,753.72 and 6,702.76 is: 9,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.96 : 15,753.72 = 6,702.76 : x
  2. Step 2: Convert to fraction form
    11,416.96/15,753.72 = 6,702.76/x
  3. Step 3: Cross multiply
    11,416.96x = 15,753.72 × 6,702.76
  4. Step 4: Simplify right side
    11,416.96x = 105,593,404.27
  5. Step 5: Solve for x
    x = 105,593,404.27/11,416.96
  6. Step 6: Final answer
    x = 9,248.82

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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.