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Finding the Fourth Proportional to 11,488.16, 15,839.12 and 7,502.96

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Solution

The fourth proportional to 11,488.16, 15,839.12 and 7,502.96 is: 10,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.16 : 15,839.12 = 7,502.96 : x
  2. Step 2: Convert to fraction form
    11,488.16/15,839.12 = 7,502.96/x
  3. Step 3: Cross multiply
    11,488.16x = 15,839.12 × 7,502.96
  4. Step 4: Simplify right side
    11,488.16x = 118,840,167.08
  5. Step 5: Solve for x
    x = 118,840,167.08/11,488.16
  6. Step 6: Final answer
    x = 10,344.58

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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.