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Finding the Fourth Proportional to 11,384.60, 15,703.97 and 8,862.71

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Solution

The fourth proportional to 11,384.60, 15,703.97 and 8,862.71 is: 12,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.60 : 15,703.97 = 8,862.71 : x
  2. Step 2: Convert to fraction form
    11,384.60/15,703.97 = 8,862.71/x
  3. Step 3: Cross multiply
    11,384.60x = 15,703.97 × 8,862.71
  4. Step 4: Simplify right side
    11,384.60x = 139,179,793.38
  5. Step 5: Solve for x
    x = 139,179,793.38/11,384.60
  6. Step 6: Final answer
    x = 12,225.27

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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.