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Finding the Fourth Proportional to 7,552.25, 10,421.76 and 4,195.29

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Solution

The fourth proportional to 7,552.25, 10,421.76 and 4,195.29 is: 5,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.25 : 10,421.76 = 4,195.29 : x
  2. Step 2: Convert to fraction form
    7,552.25/10,421.76 = 4,195.29/x
  3. Step 3: Cross multiply
    7,552.25x = 10,421.76 × 4,195.29
  4. Step 4: Simplify right side
    7,552.25x = 43,722,347.30
  5. Step 5: Solve for x
    x = 43,722,347.30/7,552.25
  6. Step 6: Final answer
    x = 5,789.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.