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Finding the Fourth Proportional to 7,257.13, 10,014.84 and 3,945.13

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Solution

The fourth proportional to 7,257.13, 10,014.84 and 3,945.13 is: 5,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.13 : 10,014.84 = 3,945.13 : x
  2. Step 2: Convert to fraction form
    7,257.13/10,014.84 = 3,945.13/x
  3. Step 3: Cross multiply
    7,257.13x = 10,014.84 × 3,945.13
  4. Step 4: Simplify right side
    7,257.13x = 39,509,795.66
  5. Step 5: Solve for x
    x = 39,509,795.66/7,257.13
  6. Step 6: Final answer
    x = 5,444.28

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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.