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Finding the Fourth Proportional to 10,253.78, 14,157.80 and 6,280.31

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Solution

The fourth proportional to 10,253.78, 14,157.80 and 6,280.31 is: 8,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.78 : 14,157.80 = 6,280.31 : x
  2. Step 2: Convert to fraction form
    10,253.78/14,157.80 = 6,280.31/x
  3. Step 3: Cross multiply
    10,253.78x = 14,157.80 × 6,280.31
  4. Step 4: Simplify right side
    10,253.78x = 88,915,372.92
  5. Step 5: Solve for x
    x = 88,915,372.92/10,253.78
  6. Step 6: Final answer
    x = 8,671.47

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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.