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Finding the Fourth Proportional to 8,568.80, 12,878.80 and 7,442.40

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Solution

The fourth proportional to 8,568.80, 12,878.80 and 7,442.40 is: 11,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.80 : 12,878.80 = 7,442.40 : x
  2. Step 2: Convert to fraction form
    8,568.80/12,878.80 = 7,442.40/x
  3. Step 3: Cross multiply
    8,568.80x = 12,878.80 × 7,442.40
  4. Step 4: Simplify right side
    8,568.80x = 95,849,181.12
  5. Step 5: Solve for x
    x = 95,849,181.12/8,568.80
  6. Step 6: Final answer
    x = 11,185.83

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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.