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Finding the Fourth Proportional to 10,252.70, 14,149.78 and 6,276.46

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Solution

The fourth proportional to 10,252.70, 14,149.78 and 6,276.46 is: 8,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.70 : 14,149.78 = 6,276.46 : x
  2. Step 2: Convert to fraction form
    10,252.70/14,149.78 = 6,276.46/x
  3. Step 3: Cross multiply
    10,252.70x = 14,149.78 × 6,276.46
  4. Step 4: Simplify right side
    10,252.70x = 88,810,528.18
  5. Step 5: Solve for x
    x = 88,810,528.18/10,252.70
  6. Step 6: Final answer
    x = 8,662.16

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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.