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Finding the Fourth Proportional to 11,697.80, 17,549.76 and 5,125.28

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Solution

The fourth proportional to 11,697.80, 17,549.76 and 5,125.28 is: 7,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.80 : 17,549.76 = 5,125.28 : x
  2. Step 2: Convert to fraction form
    11,697.80/17,549.76 = 5,125.28/x
  3. Step 3: Cross multiply
    11,697.80x = 17,549.76 × 5,125.28
  4. Step 4: Simplify right side
    11,697.80x = 89,947,433.93
  5. Step 5: Solve for x
    x = 89,947,433.93/11,697.80
  6. Step 6: Final answer
    x = 7,689.26

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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.