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Finding the Fourth Proportional to 8,874.68, 12,241.64 and 5,686.91

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Solution

The fourth proportional to 8,874.68, 12,241.64 and 5,686.91 is: 7,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.68 : 12,241.64 = 5,686.91 : x
  2. Step 2: Convert to fraction form
    8,874.68/12,241.64 = 5,686.91/x
  3. Step 3: Cross multiply
    8,874.68x = 12,241.64 × 5,686.91
  4. Step 4: Simplify right side
    8,874.68x = 69,617,015.29
  5. Step 5: Solve for x
    x = 69,617,015.29/8,874.68
  6. Step 6: Final answer
    x = 7,844.45

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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.