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Finding the Fourth Proportional to 11,882.50, 16,397.17 and 6,577.00

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Solution

The fourth proportional to 11,882.50, 16,397.17 and 6,577.00 is: 9,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.50 : 16,397.17 = 6,577.00 : x
  2. Step 2: Convert to fraction form
    11,882.50/16,397.17 = 6,577.00/x
  3. Step 3: Cross multiply
    11,882.50x = 16,397.17 × 6,577.00
  4. Step 4: Simplify right side
    11,882.50x = 107,844,129.65
  5. Step 5: Solve for x
    x = 107,844,129.65/11,882.50
  6. Step 6: Final answer
    x = 9,075.88

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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.