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Finding the Fourth Proportional to 12,776.57, 19,158.37 and 5,845.13

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Solution

The fourth proportional to 12,776.57, 19,158.37 and 5,845.13 is: 8,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.57 : 19,158.37 = 5,845.13 : x
  2. Step 2: Convert to fraction form
    12,776.57/19,158.37 = 5,845.13/x
  3. Step 3: Cross multiply
    12,776.57x = 19,158.37 × 5,845.13
  4. Step 4: Simplify right side
    12,776.57x = 111,983,052.83
  5. Step 5: Solve for x
    x = 111,983,052.83/12,776.57
  6. Step 6: Final answer
    x = 8,764.72

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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.