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Finding the Fourth Proportional to 12,591.12, 17,376.36 and 7,002

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Solution

The fourth proportional to 12,591.12, 17,376.36 and 7,002 is: 9,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.12 : 17,376.36 = 7,002 : x
  2. Step 2: Convert to fraction form
    12,591.12/17,376.36 = 7,002/x
  3. Step 3: Cross multiply
    12,591.12x = 17,376.36 × 7,002
  4. Step 4: Simplify right side
    12,591.12x = 121,669,272.72
  5. Step 5: Solve for x
    x = 121,669,272.72/12,591.12
  6. Step 6: Final answer
    x = 9,663.10

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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.