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Finding the Fourth Proportional to 8,579.84, 12,860.56 and 5,617.16

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Solution

The fourth proportional to 8,579.84, 12,860.56 and 5,617.16 is: 8,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.84 : 12,860.56 = 5,617.16 : x
  2. Step 2: Convert to fraction form
    8,579.84/12,860.56 = 5,617.16/x
  3. Step 3: Cross multiply
    8,579.84x = 12,860.56 × 5,617.16
  4. Step 4: Simplify right side
    8,579.84x = 72,239,823.21
  5. Step 5: Solve for x
    x = 72,239,823.21/8,579.84
  6. Step 6: Final answer
    x = 8,419.72

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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.