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Finding the Fourth Proportional to 8,534.18, 12,809.20 and 4,377.16

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Solution

The fourth proportional to 8,534.18, 12,809.20 and 4,377.16 is: 6,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.18 : 12,809.20 = 4,377.16 : x
  2. Step 2: Convert to fraction form
    8,534.18/12,809.20 = 4,377.16/x
  3. Step 3: Cross multiply
    8,534.18x = 12,809.20 × 4,377.16
  4. Step 4: Simplify right side
    8,534.18x = 56,067,917.87
  5. Step 5: Solve for x
    x = 56,067,917.87/8,534.18
  6. Step 6: Final answer
    x = 6,569.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.