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Finding the Fourth Proportional to 7,645.26, 10,552.12 and 5,261.88

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Solution

The fourth proportional to 7,645.26, 10,552.12 and 5,261.88 is: 7,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.26 : 10,552.12 = 5,261.88 : x
  2. Step 2: Convert to fraction form
    7,645.26/10,552.12 = 5,261.88/x
  3. Step 3: Cross multiply
    7,645.26x = 10,552.12 × 5,261.88
  4. Step 4: Simplify right side
    7,645.26x = 55,523,989.19
  5. Step 5: Solve for x
    x = 55,523,989.19/7,645.26
  6. Step 6: Final answer
    x = 7,262.54

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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.