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Finding the Fourth Proportional to 10,081.60, 15,122.64 and 3,840.80

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Solution

The fourth proportional to 10,081.60, 15,122.64 and 3,840.80 is: 5,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.60 : 15,122.64 = 3,840.80 : x
  2. Step 2: Convert to fraction form
    10,081.60/15,122.64 = 3,840.80/x
  3. Step 3: Cross multiply
    10,081.60x = 15,122.64 × 3,840.80
  4. Step 4: Simplify right side
    10,081.60x = 58,083,035.71
  5. Step 5: Solve for x
    x = 58,083,035.71/10,081.60
  6. Step 6: Final answer
    x = 5,761.29

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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.