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Finding the Fourth Proportional to 12,711.48, 19,074.42 and 7,770.84

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Solution

The fourth proportional to 12,711.48, 19,074.42 and 7,770.84 is: 11,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.48 : 19,074.42 = 7,770.84 : x
  2. Step 2: Convert to fraction form
    12,711.48/19,074.42 = 7,770.84/x
  3. Step 3: Cross multiply
    12,711.48x = 19,074.42 × 7,770.84
  4. Step 4: Simplify right side
    12,711.48x = 148,224,265.91
  5. Step 5: Solve for x
    x = 148,224,265.91/12,711.48
  6. Step 6: Final answer
    x = 11,660.66

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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.