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Finding the Fourth Proportional to 12,517.16, 17,279.27 and 7,985.89

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Solution

The fourth proportional to 12,517.16, 17,279.27 and 7,985.89 is: 11,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.16 : 17,279.27 = 7,985.89 : x
  2. Step 2: Convert to fraction form
    12,517.16/17,279.27 = 7,985.89/x
  3. Step 3: Cross multiply
    12,517.16x = 17,279.27 × 7,985.89
  4. Step 4: Simplify right side
    12,517.16x = 137,990,406.04
  5. Step 5: Solve for x
    x = 137,990,406.04/12,517.16
  6. Step 6: Final answer
    x = 11,024.10

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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.