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Finding the Fourth Proportional to 10,254.70, 14,151.52 and 5,778.52

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Solution

The fourth proportional to 10,254.70, 14,151.52 and 5,778.52 is: 7,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.70 : 14,151.52 = 5,778.52 : x
  2. Step 2: Convert to fraction form
    10,254.70/14,151.52 = 5,778.52/x
  3. Step 3: Cross multiply
    10,254.70x = 14,151.52 × 5,778.52
  4. Step 4: Simplify right side
    10,254.70x = 81,774,770.59
  5. Step 5: Solve for x
    x = 81,774,770.59/10,254.70
  6. Step 6: Final answer
    x = 7,974.37

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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.