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Finding the Fourth Proportional to 10,778.32, 16,167.30 and 5,230.72

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Solution

The fourth proportional to 10,778.32, 16,167.30 and 5,230.72 is: 7,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.32 : 16,167.30 = 5,230.72 : x
  2. Step 2: Convert to fraction form
    10,778.32/16,167.30 = 5,230.72/x
  3. Step 3: Cross multiply
    10,778.32x = 16,167.30 × 5,230.72
  4. Step 4: Simplify right side
    10,778.32x = 84,566,619.46
  5. Step 5: Solve for x
    x = 84,566,619.46/10,778.32
  6. Step 6: Final answer
    x = 7,845.99

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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.