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Finding the Fourth Proportional to 7,725.66, 11,560.77 and 6,689.22

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Solution

The fourth proportional to 7,725.66, 11,560.77 and 6,689.22 is: 10,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.66 : 11,560.77 = 6,689.22 : x
  2. Step 2: Convert to fraction form
    7,725.66/11,560.77 = 6,689.22/x
  3. Step 3: Cross multiply
    7,725.66x = 11,560.77 × 6,689.22
  4. Step 4: Simplify right side
    7,725.66x = 77,332,533.90
  5. Step 5: Solve for x
    x = 77,332,533.90/7,725.66
  6. Step 6: Final answer
    x = 10,009.83

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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.