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Finding the Fourth Proportional to 8,502.90, 11,728.17 and 8,347.38

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Solution

The fourth proportional to 8,502.90, 11,728.17 and 8,347.38 is: 11,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.90 : 11,728.17 = 8,347.38 : x
  2. Step 2: Convert to fraction form
    8,502.90/11,728.17 = 8,347.38/x
  3. Step 3: Cross multiply
    8,502.90x = 11,728.17 × 8,347.38
  4. Step 4: Simplify right side
    8,502.90x = 97,899,491.69
  5. Step 5: Solve for x
    x = 97,899,491.69/8,502.90
  6. Step 6: Final answer
    x = 11,513.66

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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.