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Finding the Fourth Proportional to 11,253.60, 15,530.94 and 6,537.78

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Solution

The fourth proportional to 11,253.60, 15,530.94 and 6,537.78 is: 9,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.60 : 15,530.94 = 6,537.78 : x
  2. Step 2: Convert to fraction form
    11,253.60/15,530.94 = 6,537.78/x
  3. Step 3: Cross multiply
    11,253.60x = 15,530.94 × 6,537.78
  4. Step 4: Simplify right side
    11,253.60x = 101,537,868.91
  5. Step 5: Solve for x
    x = 101,537,868.91/11,253.60
  6. Step 6: Final answer
    x = 9,022.70

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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.