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Finding the Fourth Proportional to 8,077.20, 12,097.17 and 7,009.62

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Solution

The fourth proportional to 8,077.20, 12,097.17 and 7,009.62 is: 10,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.20 : 12,097.17 = 7,009.62 : x
  2. Step 2: Convert to fraction form
    8,077.20/12,097.17 = 7,009.62/x
  3. Step 3: Cross multiply
    8,077.20x = 12,097.17 × 7,009.62
  4. Step 4: Simplify right side
    8,077.20x = 84,796,564.78
  5. Step 5: Solve for x
    x = 84,796,564.78/8,077.20
  6. Step 6: Final answer
    x = 10,498.26

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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.