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Finding the Fourth Proportional to 7,251, 10,877.43 and 2,057.01

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Solution

The fourth proportional to 7,251, 10,877.43 and 2,057.01 is: 3,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251 : 10,877.43 = 2,057.01 : x
  2. Step 2: Convert to fraction form
    7,251/10,877.43 = 2,057.01/x
  3. Step 3: Cross multiply
    7,251x = 10,877.43 × 2,057.01
  4. Step 4: Simplify right side
    7,251x = 22,374,982.28
  5. Step 5: Solve for x
    x = 22,374,982.28/7,251
  6. Step 6: Final answer
    x = 3,085.78

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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.