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Finding the Fourth Proportional to 10,254.98, 14,150.22 and 5,777.71

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Solution

The fourth proportional to 10,254.98, 14,150.22 and 5,777.71 is: 7,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.98 : 14,150.22 = 5,777.71 : x
  2. Step 2: Convert to fraction form
    10,254.98/14,150.22 = 5,777.71/x
  3. Step 3: Cross multiply
    10,254.98x = 14,150.22 × 5,777.71
  4. Step 4: Simplify right side
    10,254.98x = 81,755,867.60
  5. Step 5: Solve for x
    x = 81,755,867.60/10,254.98
  6. Step 6: Final answer
    x = 7,972.31

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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.