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Finding the Fourth Proportional to 7,265.25, 10,901.81 and 5,625

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Solution

The fourth proportional to 7,265.25, 10,901.81 and 5,625 is: 8,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.25 : 10,901.81 = 5,625 : x
  2. Step 2: Convert to fraction form
    7,265.25/10,901.81 = 5,625/x
  3. Step 3: Cross multiply
    7,265.25x = 10,901.81 × 5,625
  4. Step 4: Simplify right side
    7,265.25x = 61,322,695.31
  5. Step 5: Solve for x
    x = 61,322,695.31/7,265.25
  6. Step 6: Final answer
    x = 8,440.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.