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Finding the Fourth Proportional to 10,478.99, 15,720.43 and 3,459.49

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Solution

The fourth proportional to 10,478.99, 15,720.43 and 3,459.49 is: 5,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.99 : 15,720.43 = 3,459.49 : x
  2. Step 2: Convert to fraction form
    10,478.99/15,720.43 = 3,459.49/x
  3. Step 3: Cross multiply
    10,478.99x = 15,720.43 × 3,459.49
  4. Step 4: Simplify right side
    10,478.99x = 54,384,717.34
  5. Step 5: Solve for x
    x = 54,384,717.34/10,478.99
  6. Step 6: Final answer
    x = 5,189.88

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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.