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Finding the Fourth Proportional to 8,140.92, 12,212.64 and 2,945.76

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Solution

The fourth proportional to 8,140.92, 12,212.64 and 2,945.76 is: 4,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.92 : 12,212.64 = 2,945.76 : x
  2. Step 2: Convert to fraction form
    8,140.92/12,212.64 = 2,945.76/x
  3. Step 3: Cross multiply
    8,140.92x = 12,212.64 × 2,945.76
  4. Step 4: Simplify right side
    8,140.92x = 35,975,506.41
  5. Step 5: Solve for x
    x = 35,975,506.41/8,140.92
  6. Step 6: Final answer
    x = 4,419.10

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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.