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Finding the Fourth Proportional to 8,689.64, 11,995.89 and 6,177.02

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Solution

The fourth proportional to 8,689.64, 11,995.89 and 6,177.02 is: 8,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.64 : 11,995.89 = 6,177.02 : x
  2. Step 2: Convert to fraction form
    8,689.64/11,995.89 = 6,177.02/x
  3. Step 3: Cross multiply
    8,689.64x = 11,995.89 × 6,177.02
  4. Step 4: Simplify right side
    8,689.64x = 74,098,852.45
  5. Step 5: Solve for x
    x = 74,098,852.45/8,689.64
  6. Step 6: Final answer
    x = 8,527.26

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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.