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Finding the Fourth Proportional to 10,862.32, 14,981.06 and 9,131.08

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Solution

The fourth proportional to 10,862.32, 14,981.06 and 9,131.08 is: 12,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.32 : 14,981.06 = 9,131.08 : x
  2. Step 2: Convert to fraction form
    10,862.32/14,981.06 = 9,131.08/x
  3. Step 3: Cross multiply
    10,862.32x = 14,981.06 × 9,131.08
  4. Step 4: Simplify right side
    10,862.32x = 136,793,257.34
  5. Step 5: Solve for x
    x = 136,793,257.34/10,862.32
  6. Step 6: Final answer
    x = 12,593.37

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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.