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Finding the Fourth Proportional to 7,767.70, 10,725.74 and 6,332.28

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Solution

The fourth proportional to 7,767.70, 10,725.74 and 6,332.28 is: 8,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.70 : 10,725.74 = 6,332.28 : x
  2. Step 2: Convert to fraction form
    7,767.70/10,725.74 = 6,332.28/x
  3. Step 3: Cross multiply
    7,767.70x = 10,725.74 × 6,332.28
  4. Step 4: Simplify right side
    7,767.70x = 67,918,449.06
  5. Step 5: Solve for x
    x = 67,918,449.06/7,767.70
  6. Step 6: Final answer
    x = 8,743.70

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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.