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Finding the Fourth Proportional to 7,266.24, 10,900.08 and 2,648.16

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Solution

The fourth proportional to 7,266.24, 10,900.08 and 2,648.16 is: 3,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.24 : 10,900.08 = 2,648.16 : x
  2. Step 2: Convert to fraction form
    7,266.24/10,900.08 = 2,648.16/x
  3. Step 3: Cross multiply
    7,266.24x = 10,900.08 × 2,648.16
  4. Step 4: Simplify right side
    7,266.24x = 28,865,155.85
  5. Step 5: Solve for x
    x = 28,865,155.85/7,266.24
  6. Step 6: Final answer
    x = 3,972.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.