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Finding the Fourth Proportional to 8,764.32, 12,093.33 and 5,178.78

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Solution

The fourth proportional to 8,764.32, 12,093.33 and 5,178.78 is: 7,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.32 : 12,093.33 = 5,178.78 : x
  2. Step 2: Convert to fraction form
    8,764.32/12,093.33 = 5,178.78/x
  3. Step 3: Cross multiply
    8,764.32x = 12,093.33 × 5,178.78
  4. Step 4: Simplify right side
    8,764.32x = 62,628,695.54
  5. Step 5: Solve for x
    x = 62,628,695.54/8,764.32
  6. Step 6: Final answer
    x = 7,145.87

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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.