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Finding the Fourth Proportional to 8,648.46, 11,926.71 and 5,666.85

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Solution

The fourth proportional to 8,648.46, 11,926.71 and 5,666.85 is: 7,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.46 : 11,926.71 = 5,666.85 : x
  2. Step 2: Convert to fraction form
    8,648.46/11,926.71 = 5,666.85/x
  3. Step 3: Cross multiply
    8,648.46x = 11,926.71 × 5,666.85
  4. Step 4: Simplify right side
    8,648.46x = 67,586,876.56
  5. Step 5: Solve for x
    x = 67,586,876.56/8,648.46
  6. Step 6: Final answer
    x = 7,814.90

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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.