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Finding the Fourth Proportional to 8,277.73, 12,419.34 and 3,344.70

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Solution

The fourth proportional to 8,277.73, 12,419.34 and 3,344.70 is: 5,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.73 : 12,419.34 = 3,344.70 : x
  2. Step 2: Convert to fraction form
    8,277.73/12,419.34 = 3,344.70/x
  3. Step 3: Cross multiply
    8,277.73x = 12,419.34 × 3,344.70
  4. Step 4: Simplify right side
    8,277.73x = 41,538,966.50
  5. Step 5: Solve for x
    x = 41,538,966.50/8,277.73
  6. Step 6: Final answer
    x = 5,018.16

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Why These Related Problems?

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