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Finding the Fourth Proportional to 10,151.07, 15,205 and 5,766.27

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Solution

The fourth proportional to 10,151.07, 15,205 and 5,766.27 is: 8,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.07 : 15,205 = 5,766.27 : x
  2. Step 2: Convert to fraction form
    10,151.07/15,205 = 5,766.27/x
  3. Step 3: Cross multiply
    10,151.07x = 15,205 × 5,766.27
  4. Step 4: Simplify right side
    10,151.07x = 87,676,135.35
  5. Step 5: Solve for x
    x = 87,676,135.35/10,151.07
  6. Step 6: Final answer
    x = 8,637.13

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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.