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Finding the Fourth Proportional to 8,867.68, 13,306.16 and 5,746.89

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Solution

The fourth proportional to 8,867.68, 13,306.16 and 5,746.89 is: 8,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,867.68 : 13,306.16 = 5,746.89 : x
  2. Step 2: Convert to fraction form
    8,867.68/13,306.16 = 5,746.89/x
  3. Step 3: Cross multiply
    8,867.68x = 13,306.16 × 5,746.89
  4. Step 4: Simplify right side
    8,867.68x = 76,469,037.84
  5. Step 5: Solve for x
    x = 76,469,037.84/8,867.68
  6. Step 6: Final answer
    x = 8,623.34

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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.