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Finding the Fourth Proportional to 8,814.29, 12,160.40 and 5,627.70

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Solution

The fourth proportional to 8,814.29, 12,160.40 and 5,627.70 is: 7,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.29 : 12,160.40 = 5,627.70 : x
  2. Step 2: Convert to fraction form
    8,814.29/12,160.40 = 5,627.70/x
  3. Step 3: Cross multiply
    8,814.29x = 12,160.40 × 5,627.70
  4. Step 4: Simplify right side
    8,814.29x = 68,435,054.94
  5. Step 5: Solve for x
    x = 68,435,054.94/8,814.29
  6. Step 6: Final answer
    x = 7,764.11

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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.