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Finding the Fourth Proportional to 10,234.71, 14,119.25 and 6,255

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Solution

The fourth proportional to 10,234.71, 14,119.25 and 6,255 is: 8,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.71 : 14,119.25 = 6,255 : x
  2. Step 2: Convert to fraction form
    10,234.71/14,119.25 = 6,255/x
  3. Step 3: Cross multiply
    10,234.71x = 14,119.25 × 6,255
  4. Step 4: Simplify right side
    10,234.71x = 88,315,877.48
  5. Step 5: Solve for x
    x = 88,315,877.48/10,234.71
  6. Step 6: Final answer
    x = 8,629.06

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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.