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Finding the Fourth Proportional to 10,237.74, 15,352.83 and 8,050.74

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Solution

The fourth proportional to 10,237.74, 15,352.83 and 8,050.74 is: 12,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.74 : 15,352.83 = 8,050.74 : x
  2. Step 2: Convert to fraction form
    10,237.74/15,352.83 = 8,050.74/x
  3. Step 3: Cross multiply
    10,237.74x = 15,352.83 × 8,050.74
  4. Step 4: Simplify right side
    10,237.74x = 123,601,642.59
  5. Step 5: Solve for x
    x = 123,601,642.59/10,237.74
  6. Step 6: Final answer
    x = 12,073.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.