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Finding the Fourth Proportional to 10,329.78, 14,257.18 and 6,137.22

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Solution

The fourth proportional to 10,329.78, 14,257.18 and 6,137.22 is: 8,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.78 : 14,257.18 = 6,137.22 : x
  2. Step 2: Convert to fraction form
    10,329.78/14,257.18 = 6,137.22/x
  3. Step 3: Cross multiply
    10,329.78x = 14,257.18 × 6,137.22
  4. Step 4: Simplify right side
    10,329.78x = 87,499,450.24
  5. Step 5: Solve for x
    x = 87,499,450.24/10,329.78
  6. Step 6: Final answer
    x = 8,470.60

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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.