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Finding the Fourth Proportional to 10,502.35, 15,727.66 and 6,793.22

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Solution

The fourth proportional to 10,502.35, 15,727.66 and 6,793.22 is: 10,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.35 : 15,727.66 = 6,793.22 : x
  2. Step 2: Convert to fraction form
    10,502.35/15,727.66 = 6,793.22/x
  3. Step 3: Cross multiply
    10,502.35x = 15,727.66 × 6,793.22
  4. Step 4: Simplify right side
    10,502.35x = 106,841,454.47
  5. Step 5: Solve for x
    x = 106,841,454.47/10,502.35
  6. Step 6: Final answer
    x = 10,173.10

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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.