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Finding the Fourth Proportional to 11,148.99, 15,387.57 and 8,469.08

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Solution

The fourth proportional to 11,148.99, 15,387.57 and 8,469.08 is: 11,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.99 : 15,387.57 = 8,469.08 : x
  2. Step 2: Convert to fraction form
    11,148.99/15,387.57 = 8,469.08/x
  3. Step 3: Cross multiply
    11,148.99x = 15,387.57 × 8,469.08
  4. Step 4: Simplify right side
    11,148.99x = 130,318,585.38
  5. Step 5: Solve for x
    x = 130,318,585.38/11,148.99
  6. Step 6: Final answer
    x = 11,688.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.