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Finding the Fourth Proportional to 7,269.75, 10,898.82 and 2,886.03

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Solution

The fourth proportional to 7,269.75, 10,898.82 and 2,886.03 is: 4,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.75 : 10,898.82 = 2,886.03 : x
  2. Step 2: Convert to fraction form
    7,269.75/10,898.82 = 2,886.03/x
  3. Step 3: Cross multiply
    7,269.75x = 10,898.82 × 2,886.03
  4. Step 4: Simplify right side
    7,269.75x = 31,454,321.48
  5. Step 5: Solve for x
    x = 31,454,321.48/7,269.75
  6. Step 6: Final answer
    x = 4,326.74

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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.