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Finding the Fourth Proportional to 7,201.12, 10,801.68 and 5,012.32

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Solution

The fourth proportional to 7,201.12, 10,801.68 and 5,012.32 is: 7,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.12 : 10,801.68 = 5,012.32 : x
  2. Step 2: Convert to fraction form
    7,201.12/10,801.68 = 5,012.32/x
  3. Step 3: Cross multiply
    7,201.12x = 10,801.68 × 5,012.32
  4. Step 4: Simplify right side
    7,201.12x = 54,141,476.70
  5. Step 5: Solve for x
    x = 54,141,476.70/7,201.12
  6. Step 6: Final answer
    x = 7,518.48

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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.