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Finding the Fourth Proportional to 10,478.20, 15,720.06 and 3,459.28

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Solution

The fourth proportional to 10,478.20, 15,720.06 and 3,459.28 is: 5,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.20 : 15,720.06 = 3,459.28 : x
  2. Step 2: Convert to fraction form
    10,478.20/15,720.06 = 3,459.28/x
  3. Step 3: Cross multiply
    10,478.20x = 15,720.06 × 3,459.28
  4. Step 4: Simplify right side
    10,478.20x = 54,380,089.16
  5. Step 5: Solve for x
    x = 54,380,089.16/10,478.20
  6. Step 6: Final answer
    x = 5,189.83

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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.