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Finding the Fourth Proportional to 8,444.78, 12,667.14 and 2,288.78

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Solution

The fourth proportional to 8,444.78, 12,667.14 and 2,288.78 is: 3,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.78 : 12,667.14 = 2,288.78 : x
  2. Step 2: Convert to fraction form
    8,444.78/12,667.14 = 2,288.78/x
  3. Step 3: Cross multiply
    8,444.78x = 12,667.14 × 2,288.78
  4. Step 4: Simplify right side
    8,444.78x = 28,992,296.69
  5. Step 5: Solve for x
    x = 28,992,296.69/8,444.78
  6. Step 6: Final answer
    x = 3,433.16

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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.