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Finding the Fourth Proportional to 8,277.76, 12,418.68 and 2,434.34

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Solution

The fourth proportional to 8,277.76, 12,418.68 and 2,434.34 is: 3,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.76 : 12,418.68 = 2,434.34 : x
  2. Step 2: Convert to fraction form
    8,277.76/12,418.68 = 2,434.34/x
  3. Step 3: Cross multiply
    8,277.76x = 12,418.68 × 2,434.34
  4. Step 4: Simplify right side
    8,277.76x = 30,231,289.47
  5. Step 5: Solve for x
    x = 30,231,289.47/8,277.76
  6. Step 6: Final answer
    x = 3,652.11

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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.