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Finding the Fourth Proportional to 8,269.64, 11,412.29 and 5,084.65

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Solution

The fourth proportional to 8,269.64, 11,412.29 and 5,084.65 is: 7,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.64 : 11,412.29 = 5,084.65 : x
  2. Step 2: Convert to fraction form
    8,269.64/11,412.29 = 5,084.65/x
  3. Step 3: Cross multiply
    8,269.64x = 11,412.29 × 5,084.65
  4. Step 4: Simplify right side
    8,269.64x = 58,027,417.86
  5. Step 5: Solve for x
    x = 58,027,417.86/8,269.64
  6. Step 6: Final answer
    x = 7,016.92

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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.