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Finding the Fourth Proportional to 7,280.26, 10,046.97 and 4,448.10

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Solution

The fourth proportional to 7,280.26, 10,046.97 and 4,448.10 is: 6,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.26 : 10,046.97 = 4,448.10 : x
  2. Step 2: Convert to fraction form
    7,280.26/10,046.97 = 4,448.10/x
  3. Step 3: Cross multiply
    7,280.26x = 10,046.97 × 4,448.10
  4. Step 4: Simplify right side
    7,280.26x = 44,689,927.26
  5. Step 5: Solve for x
    x = 44,689,927.26/7,280.26
  6. Step 6: Final answer
    x = 6,138.51

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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.