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Finding the Fourth Proportional to 7,257.98, 10,884.54 and 2,876.96

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Solution

The fourth proportional to 7,257.98, 10,884.54 and 2,876.96 is: 4,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.98 : 10,884.54 = 2,876.96 : x
  2. Step 2: Convert to fraction form
    7,257.98/10,884.54 = 2,876.96/x
  3. Step 3: Cross multiply
    7,257.98x = 10,884.54 × 2,876.96
  4. Step 4: Simplify right side
    7,257.98x = 31,314,386.20
  5. Step 5: Solve for x
    x = 31,314,386.20/7,257.98
  6. Step 6: Final answer
    x = 4,314.48

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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.