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Finding the Fourth Proportional to 8,159.32, 12,238.99 and 2,235.78

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Solution

The fourth proportional to 8,159.32, 12,238.99 and 2,235.78 is: 3,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.32 : 12,238.99 = 2,235.78 : x
  2. Step 2: Convert to fraction form
    8,159.32/12,238.99 = 2,235.78/x
  3. Step 3: Cross multiply
    8,159.32x = 12,238.99 × 2,235.78
  4. Step 4: Simplify right side
    8,159.32x = 27,363,689.06
  5. Step 5: Solve for x
    x = 27,363,689.06/8,159.32
  6. Step 6: Final answer
    x = 3,353.67

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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.