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Finding the Fourth Proportional to 12,697.47, 17,531.17 and 7,919.28

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Solution

The fourth proportional to 12,697.47, 17,531.17 and 7,919.28 is: 10,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.47 : 17,531.17 = 7,919.28 : x
  2. Step 2: Convert to fraction form
    12,697.47/17,531.17 = 7,919.28/x
  3. Step 3: Cross multiply
    12,697.47x = 17,531.17 × 7,919.28
  4. Step 4: Simplify right side
    12,697.47x = 138,834,224.16
  5. Step 5: Solve for x
    x = 138,834,224.16/12,697.47
  6. Step 6: Final answer
    x = 10,934.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.