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Finding the Fourth Proportional to 10,726.68, 16,114.76 and 10,283.84

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Solution

The fourth proportional to 10,726.68, 16,114.76 and 10,283.84 is: 15,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.68 : 16,114.76 = 10,283.84 : x
  2. Step 2: Convert to fraction form
    10,726.68/16,114.76 = 10,283.84/x
  3. Step 3: Cross multiply
    10,726.68x = 16,114.76 × 10,283.84
  4. Step 4: Simplify right side
    10,726.68x = 165,721,613.48
  5. Step 5: Solve for x
    x = 165,721,613.48/10,726.68
  6. Step 6: Final answer
    x = 15,449.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.