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Finding the Fourth Proportional to 7,266.54, 10,901.02 and 2,884.02

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Solution

The fourth proportional to 7,266.54, 10,901.02 and 2,884.02 is: 4,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.54 : 10,901.02 = 2,884.02 : x
  2. Step 2: Convert to fraction form
    7,266.54/10,901.02 = 2,884.02/x
  3. Step 3: Cross multiply
    7,266.54x = 10,901.02 × 2,884.02
  4. Step 4: Simplify right side
    7,266.54x = 31,438,759.70
  5. Step 5: Solve for x
    x = 31,438,759.70/7,266.54
  6. Step 6: Final answer
    x = 4,326.51

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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.