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Finding the Fourth Proportional to 10,346.78, 14,278.88 and 6,367.12

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Solution

The fourth proportional to 10,346.78, 14,278.88 and 6,367.12 is: 8,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.78 : 14,278.88 = 6,367.12 : x
  2. Step 2: Convert to fraction form
    10,346.78/14,278.88 = 6,367.12/x
  3. Step 3: Cross multiply
    10,346.78x = 14,278.88 × 6,367.12
  4. Step 4: Simplify right side
    10,346.78x = 90,915,342.43
  5. Step 5: Solve for x
    x = 90,915,342.43/10,346.78
  6. Step 6: Final answer
    x = 8,786.82

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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.