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Finding the Fourth Proportional to 11,568.65, 15,964.85 and 6,788.68

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Solution

The fourth proportional to 11,568.65, 15,964.85 and 6,788.68 is: 9,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.65 : 15,964.85 = 6,788.68 : x
  2. Step 2: Convert to fraction form
    11,568.65/15,964.85 = 6,788.68/x
  3. Step 3: Cross multiply
    11,568.65x = 15,964.85 × 6,788.68
  4. Step 4: Simplify right side
    11,568.65x = 108,380,257.90
  5. Step 5: Solve for x
    x = 108,380,257.90/11,568.65
  6. Step 6: Final answer
    x = 9,368.44

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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.