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Finding the Fourth Proportional to 7,332.50, 10,973.22 and 6,906.04

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Solution

The fourth proportional to 7,332.50, 10,973.22 and 6,906.04 is: 10,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.50 : 10,973.22 = 6,906.04 : x
  2. Step 2: Convert to fraction form
    7,332.50/10,973.22 = 6,906.04/x
  3. Step 3: Cross multiply
    7,332.50x = 10,973.22 × 6,906.04
  4. Step 4: Simplify right side
    7,332.50x = 75,781,496.25
  5. Step 5: Solve for x
    x = 75,781,496.25/7,332.50
  6. Step 6: Final answer
    x = 10,335.01

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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.