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Finding the Fourth Proportional to 8,562.12, 12,842.16 and 2,321.75

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Solution

The fourth proportional to 8,562.12, 12,842.16 and 2,321.75 is: 3,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.12 : 12,842.16 = 2,321.75 : x
  2. Step 2: Convert to fraction form
    8,562.12/12,842.16 = 2,321.75/x
  3. Step 3: Cross multiply
    8,562.12x = 12,842.16 × 2,321.75
  4. Step 4: Simplify right side
    8,562.12x = 29,816,284.98
  5. Step 5: Solve for x
    x = 29,816,284.98/8,562.12
  6. Step 6: Final answer
    x = 3,482.35

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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.