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Finding the Fourth Proportional to 10,402.68, 15,604.14 and 3,007.20

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Solution

The fourth proportional to 10,402.68, 15,604.14 and 3,007.20 is: 4,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.68 : 15,604.14 = 3,007.20 : x
  2. Step 2: Convert to fraction form
    10,402.68/15,604.14 = 3,007.20/x
  3. Step 3: Cross multiply
    10,402.68x = 15,604.14 × 3,007.20
  4. Step 4: Simplify right side
    10,402.68x = 46,924,821.30
  5. Step 5: Solve for x
    x = 46,924,821.30/10,402.68
  6. Step 6: Final answer
    x = 4,510.84

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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.