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Finding the Fourth Proportional to 8,069.58, 12,107.48 and 3,142.69

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Solution

The fourth proportional to 8,069.58, 12,107.48 and 3,142.69 is: 4,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.58 : 12,107.48 = 3,142.69 : x
  2. Step 2: Convert to fraction form
    8,069.58/12,107.48 = 3,142.69/x
  3. Step 3: Cross multiply
    8,069.58x = 12,107.48 × 3,142.69
  4. Step 4: Simplify right side
    8,069.58x = 38,050,010.34
  5. Step 5: Solve for x
    x = 38,050,010.34/8,069.58
  6. Step 6: Final answer
    x = 4,715.24

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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.