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Finding the Fourth Proportional to 8,977.73, 13,465.71 and 3,711.24

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Solution

The fourth proportional to 8,977.73, 13,465.71 and 3,711.24 is: 5,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.73 : 13,465.71 = 3,711.24 : x
  2. Step 2: Convert to fraction form
    8,977.73/13,465.71 = 3,711.24/x
  3. Step 3: Cross multiply
    8,977.73x = 13,465.71 × 3,711.24
  4. Step 4: Simplify right side
    8,977.73x = 49,974,481.58
  5. Step 5: Solve for x
    x = 49,974,481.58/8,977.73
  6. Step 6: Final answer
    x = 5,566.50

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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.