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Finding the Fourth Proportional to 8,002.60, 11,043.65 and 4,465.82

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Solution

The fourth proportional to 8,002.60, 11,043.65 and 4,465.82 is: 6,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.60 : 11,043.65 = 4,465.82 : x
  2. Step 2: Convert to fraction form
    8,002.60/11,043.65 = 4,465.82/x
  3. Step 3: Cross multiply
    8,002.60x = 11,043.65 × 4,465.82
  4. Step 4: Simplify right side
    8,002.60x = 49,318,930.71
  5. Step 5: Solve for x
    x = 49,318,930.71/8,002.60
  6. Step 6: Final answer
    x = 6,162.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.