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Finding the Fourth Proportional to 7,209.20, 10,809.52 and 3,459.17

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Solution

The fourth proportional to 7,209.20, 10,809.52 and 3,459.17 is: 5,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.20 : 10,809.52 = 3,459.17 : x
  2. Step 2: Convert to fraction form
    7,209.20/10,809.52 = 3,459.17/x
  3. Step 3: Cross multiply
    7,209.20x = 10,809.52 × 3,459.17
  4. Step 4: Simplify right side
    7,209.20x = 37,391,985.67
  5. Step 5: Solve for x
    x = 37,391,985.67/7,209.20
  6. Step 6: Final answer
    x = 5,186.70

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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.