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Finding the Fourth Proportional to 10,924.24, 15,095.88 and 9,308.26

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Solution

The fourth proportional to 10,924.24, 15,095.88 and 9,308.26 is: 12,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.24 : 15,095.88 = 9,308.26 : x
  2. Step 2: Convert to fraction form
    10,924.24/15,095.88 = 9,308.26/x
  3. Step 3: Cross multiply
    10,924.24x = 15,095.88 × 9,308.26
  4. Step 4: Simplify right side
    10,924.24x = 140,516,375.97
  5. Step 5: Solve for x
    x = 140,516,375.97/10,924.24
  6. Step 6: Final answer
    x = 12,862.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.