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Finding the Fourth Proportional to 12,780.67, 19,160.53 and 5,758.58

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Solution

The fourth proportional to 12,780.67, 19,160.53 and 5,758.58 is: 8,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.67 : 19,160.53 = 5,758.58 : x
  2. Step 2: Convert to fraction form
    12,780.67/19,160.53 = 5,758.58/x
  3. Step 3: Cross multiply
    12,780.67x = 19,160.53 × 5,758.58
  4. Step 4: Simplify right side
    12,780.67x = 110,337,444.85
  5. Step 5: Solve for x
    x = 110,337,444.85/12,780.67
  6. Step 6: Final answer
    x = 8,633.15

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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.