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Finding the Fourth Proportional to 7,599.20, 10,494.14 and 7,185.04

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Solution

The fourth proportional to 7,599.20, 10,494.14 and 7,185.04 is: 9,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599.20 : 10,494.14 = 7,185.04 : x
  2. Step 2: Convert to fraction form
    7,599.20/10,494.14 = 7,185.04/x
  3. Step 3: Cross multiply
    7,599.20x = 10,494.14 × 7,185.04
  4. Step 4: Simplify right side
    7,599.20x = 75,400,753.51
  5. Step 5: Solve for x
    x = 75,400,753.51/7,599.20
  6. Step 6: Final answer
    x = 9,922.20

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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.