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Finding the Fourth Proportional to 10,365.30, 15,535.80 and 5,432.40

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Solution

The fourth proportional to 10,365.30, 15,535.80 and 5,432.40 is: 8,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.30 : 15,535.80 = 5,432.40 : x
  2. Step 2: Convert to fraction form
    10,365.30/15,535.80 = 5,432.40/x
  3. Step 3: Cross multiply
    10,365.30x = 15,535.80 × 5,432.40
  4. Step 4: Simplify right side
    10,365.30x = 84,396,679.92
  5. Step 5: Solve for x
    x = 84,396,679.92/10,365.30
  6. Step 6: Final answer
    x = 8,142.23

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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.