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Finding the Fourth Proportional to 8,997.24, 12,414 and 5,460.36

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Solution

The fourth proportional to 8,997.24, 12,414 and 5,460.36 is: 7,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.24 : 12,414 = 5,460.36 : x
  2. Step 2: Convert to fraction form
    8,997.24/12,414 = 5,460.36/x
  3. Step 3: Cross multiply
    8,997.24x = 12,414 × 5,460.36
  4. Step 4: Simplify right side
    8,997.24x = 67,784,909.04
  5. Step 5: Solve for x
    x = 67,784,909.04/8,997.24
  6. Step 6: Final answer
    x = 7,533.97

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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.