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Finding the Fourth Proportional to 10,306.90, 15,432.64 and 8,480.06

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Solution

The fourth proportional to 10,306.90, 15,432.64 and 8,480.06 is: 12,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.90 : 15,432.64 = 8,480.06 : x
  2. Step 2: Convert to fraction form
    10,306.90/15,432.64 = 8,480.06/x
  3. Step 3: Cross multiply
    10,306.90x = 15,432.64 × 8,480.06
  4. Step 4: Simplify right side
    10,306.90x = 130,869,713.16
  5. Step 5: Solve for x
    x = 130,869,713.16/10,306.90
  6. Step 6: Final answer
    x = 12,697.29

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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.