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Finding the Fourth Proportional to 7,033.44, 10,542 and 2,648.10

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Solution

The fourth proportional to 7,033.44, 10,542 and 2,648.10 is: 3,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.44 : 10,542 = 2,648.10 : x
  2. Step 2: Convert to fraction form
    7,033.44/10,542 = 2,648.10/x
  3. Step 3: Cross multiply
    7,033.44x = 10,542 × 2,648.10
  4. Step 4: Simplify right side
    7,033.44x = 27,916,270.20
  5. Step 5: Solve for x
    x = 27,916,270.20/7,033.44
  6. Step 6: Final answer
    x = 3,969.08

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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.