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Finding the Fourth Proportional to 8,613.90, 11,862.72 and 7,409.70

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Solution

The fourth proportional to 8,613.90, 11,862.72 and 7,409.70 is: 10,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.90 : 11,862.72 = 7,409.70 : x
  2. Step 2: Convert to fraction form
    8,613.90/11,862.72 = 7,409.70/x
  3. Step 3: Cross multiply
    8,613.90x = 11,862.72 × 7,409.70
  4. Step 4: Simplify right side
    8,613.90x = 87,899,196.38
  5. Step 5: Solve for x
    x = 87,899,196.38/8,613.90
  6. Step 6: Final answer
    x = 10,204.34

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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.