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Finding the Fourth Proportional to 7,257.85, 10,015.82 and 4,114.04

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Solution

The fourth proportional to 7,257.85, 10,015.82 and 4,114.04 is: 5,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.85 : 10,015.82 = 4,114.04 : x
  2. Step 2: Convert to fraction form
    7,257.85/10,015.82 = 4,114.04/x
  3. Step 3: Cross multiply
    7,257.85x = 10,015.82 × 4,114.04
  4. Step 4: Simplify right side
    7,257.85x = 41,205,444.32
  5. Step 5: Solve for x
    x = 41,205,444.32/7,257.85
  6. Step 6: Final answer
    x = 5,677.36

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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.