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Finding the Fourth Proportional to 7,267.78, 10,902.24 and 2,588.80

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Solution

The fourth proportional to 7,267.78, 10,902.24 and 2,588.80 is: 3,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.78 : 10,902.24 = 2,588.80 : x
  2. Step 2: Convert to fraction form
    7,267.78/10,902.24 = 2,588.80/x
  3. Step 3: Cross multiply
    7,267.78x = 10,902.24 × 2,588.80
  4. Step 4: Simplify right side
    7,267.78x = 28,223,718.91
  5. Step 5: Solve for x
    x = 28,223,718.91/7,267.78
  6. Step 6: Final answer
    x = 3,883.40

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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.