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Finding the Fourth Proportional to 13,105.38, 18,085.86 and 7,136.76

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Solution

The fourth proportional to 13,105.38, 18,085.86 and 7,136.76 is: 9,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.38 : 18,085.86 = 7,136.76 : x
  2. Step 2: Convert to fraction form
    13,105.38/18,085.86 = 7,136.76/x
  3. Step 3: Cross multiply
    13,105.38x = 18,085.86 × 7,136.76
  4. Step 4: Simplify right side
    13,105.38x = 129,074,442.21
  5. Step 5: Solve for x
    x = 129,074,442.21/13,105.38
  6. Step 6: Final answer
    x = 9,848.97

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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.