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Finding the Fourth Proportional to 7,322.50, 10,960.17 and 4,825.77

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Solution

The fourth proportional to 7,322.50, 10,960.17 and 4,825.77 is: 7,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.50 : 10,960.17 = 4,825.77 : x
  2. Step 2: Convert to fraction form
    7,322.50/10,960.17 = 4,825.77/x
  3. Step 3: Cross multiply
    7,322.50x = 10,960.17 × 4,825.77
  4. Step 4: Simplify right side
    7,322.50x = 52,891,259.58
  5. Step 5: Solve for x
    x = 52,891,259.58/7,322.50
  6. Step 6: Final answer
    x = 7,223.11

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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.