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Finding the Fourth Proportional to 10,540.86, 15,812.19 and 4,301.30

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Solution

The fourth proportional to 10,540.86, 15,812.19 and 4,301.30 is: 6,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.86 : 15,812.19 = 4,301.30 : x
  2. Step 2: Convert to fraction form
    10,540.86/15,812.19 = 4,301.30/x
  3. Step 3: Cross multiply
    10,540.86x = 15,812.19 × 4,301.30
  4. Step 4: Simplify right side
    10,540.86x = 68,012,893.79
  5. Step 5: Solve for x
    x = 68,012,893.79/10,540.86
  6. Step 6: Final answer
    x = 6,452.31

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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.