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Finding the Fourth Proportional to 12,780.90, 19,167.57 and 5,756.85

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Solution

The fourth proportional to 12,780.90, 19,167.57 and 5,756.85 is: 8,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.90 : 19,167.57 = 5,756.85 : x
  2. Step 2: Convert to fraction form
    12,780.90/19,167.57 = 5,756.85/x
  3. Step 3: Cross multiply
    12,780.90x = 19,167.57 × 5,756.85
  4. Step 4: Simplify right side
    12,780.90x = 110,344,825.35
  5. Step 5: Solve for x
    x = 110,344,825.35/12,780.90
  6. Step 6: Final answer
    x = 8,633.57

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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.