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Finding the Fourth Proportional to 8,666.28, 11,960.80 and 5,690.76

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Solution

The fourth proportional to 8,666.28, 11,960.80 and 5,690.76 is: 7,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.28 : 11,960.80 = 5,690.76 : x
  2. Step 2: Convert to fraction form
    8,666.28/11,960.80 = 5,690.76/x
  3. Step 3: Cross multiply
    8,666.28x = 11,960.80 × 5,690.76
  4. Step 4: Simplify right side
    8,666.28x = 68,066,042.21
  5. Step 5: Solve for x
    x = 68,066,042.21/8,666.28
  6. Step 6: Final answer
    x = 7,854.12

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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.