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Finding the Fourth Proportional to 10,367.97, 15,551.96 and 2,972.50

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Solution

The fourth proportional to 10,367.97, 15,551.96 and 2,972.50 is: 4,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.97 : 15,551.96 = 2,972.50 : x
  2. Step 2: Convert to fraction form
    10,367.97/15,551.96 = 2,972.50/x
  3. Step 3: Cross multiply
    10,367.97x = 15,551.96 × 2,972.50
  4. Step 4: Simplify right side
    10,367.97x = 46,228,168.26
  5. Step 5: Solve for x
    x = 46,228,168.26/10,367.97
  6. Step 6: Final answer
    x = 4,458.75

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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.