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Finding the Fourth Proportional to 12,911.20, 17,817.78 and 7,875.70

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Solution

The fourth proportional to 12,911.20, 17,817.78 and 7,875.70 is: 10,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.20 : 17,817.78 = 7,875.70 : x
  2. Step 2: Convert to fraction form
    12,911.20/17,817.78 = 7,875.70/x
  3. Step 3: Cross multiply
    12,911.20x = 17,817.78 × 7,875.70
  4. Step 4: Simplify right side
    12,911.20x = 140,327,489.95
  5. Step 5: Solve for x
    x = 140,327,489.95/12,911.20
  6. Step 6: Final answer
    x = 10,868.66

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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.