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Finding the Fourth Proportional to 10,252.69, 14,149.78 and 6,276.45

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Solution

The fourth proportional to 10,252.69, 14,149.78 and 6,276.45 is: 8,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.69 : 14,149.78 = 6,276.45 : x
  2. Step 2: Convert to fraction form
    10,252.69/14,149.78 = 6,276.45/x
  3. Step 3: Cross multiply
    10,252.69x = 14,149.78 × 6,276.45
  4. Step 4: Simplify right side
    10,252.69x = 88,810,386.68
  5. Step 5: Solve for x
    x = 88,810,386.68/10,252.69
  6. Step 6: Final answer
    x = 8,662.15

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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.