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Finding the Fourth Proportional to 10,432.40, 15,649.07 and 3,855.06

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Solution

The fourth proportional to 10,432.40, 15,649.07 and 3,855.06 is: 5,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.40 : 15,649.07 = 3,855.06 : x
  2. Step 2: Convert to fraction form
    10,432.40/15,649.07 = 3,855.06/x
  3. Step 3: Cross multiply
    10,432.40x = 15,649.07 × 3,855.06
  4. Step 4: Simplify right side
    10,432.40x = 60,328,084.52
  5. Step 5: Solve for x
    x = 60,328,084.52/10,432.40
  6. Step 6: Final answer
    x = 5,782.76

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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.