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Finding the Fourth Proportional to 7,266.72, 10,902.60 and 3,806.40

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Solution

The fourth proportional to 7,266.72, 10,902.60 and 3,806.40 is: 5,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.72 : 10,902.60 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    7,266.72/10,902.60 = 3,806.40/x
  3. Step 3: Cross multiply
    7,266.72x = 10,902.60 × 3,806.40
  4. Step 4: Simplify right side
    7,266.72x = 41,499,656.64
  5. Step 5: Solve for x
    x = 41,499,656.64/7,266.72
  6. Step 6: Final answer
    x = 5,710.92

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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.