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Finding the Fourth Proportional to 8,444.25, 12,666.38 and 2,288.25

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Solution

The fourth proportional to 8,444.25, 12,666.38 and 2,288.25 is: 3,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.25 : 12,666.38 = 2,288.25 : x
  2. Step 2: Convert to fraction form
    8,444.25/12,666.38 = 2,288.25/x
  3. Step 3: Cross multiply
    8,444.25x = 12,666.38 × 2,288.25
  4. Step 4: Simplify right side
    8,444.25x = 28,983,832.59
  5. Step 5: Solve for x
    x = 28,983,832.59/8,444.25
  6. Step 6: Final answer
    x = 3,432.38

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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.