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Finding the Fourth Proportional to 11,560.69, 17,345.64 and 6,882.90

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Solution

The fourth proportional to 11,560.69, 17,345.64 and 6,882.90 is: 10,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.69 : 17,345.64 = 6,882.90 : x
  2. Step 2: Convert to fraction form
    11,560.69/17,345.64 = 6,882.90/x
  3. Step 3: Cross multiply
    11,560.69x = 17,345.64 × 6,882.90
  4. Step 4: Simplify right side
    11,560.69x = 119,388,315.11
  5. Step 5: Solve for x
    x = 119,388,315.11/11,560.69
  6. Step 6: Final answer
    x = 10,327.10

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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.