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Finding the Fourth Proportional to 11,499.76, 15,869.68 and 6,531.76

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Solution

The fourth proportional to 11,499.76, 15,869.68 and 6,531.76 is: 9,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.76 : 15,869.68 = 6,531.76 : x
  2. Step 2: Convert to fraction form
    11,499.76/15,869.68 = 6,531.76/x
  3. Step 3: Cross multiply
    11,499.76x = 15,869.68 × 6,531.76
  4. Step 4: Simplify right side
    11,499.76x = 103,656,941.04
  5. Step 5: Solve for x
    x = 103,656,941.04/11,499.76
  6. Step 6: Final answer
    x = 9,013.84

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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.