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Finding the Fourth Proportional to 7,785.72, 10,687.14 and 6,881.76

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Solution

The fourth proportional to 7,785.72, 10,687.14 and 6,881.76 is: 9,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.72 : 10,687.14 = 6,881.76 : x
  2. Step 2: Convert to fraction form
    7,785.72/10,687.14 = 6,881.76/x
  3. Step 3: Cross multiply
    7,785.72x = 10,687.14 × 6,881.76
  4. Step 4: Simplify right side
    7,785.72x = 73,546,332.57
  5. Step 5: Solve for x
    x = 73,546,332.57/7,785.72
  6. Step 6: Final answer
    x = 9,446.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.