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Finding the Fourth Proportional to 7,452.97, 10,285.38 and 4,266.77

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Solution

The fourth proportional to 7,452.97, 10,285.38 and 4,266.77 is: 5,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.97 : 10,285.38 = 4,266.77 : x
  2. Step 2: Convert to fraction form
    7,452.97/10,285.38 = 4,266.77/x
  3. Step 3: Cross multiply
    7,452.97x = 10,285.38 × 4,266.77
  4. Step 4: Simplify right side
    7,452.97x = 43,885,299.40
  5. Step 5: Solve for x
    x = 43,885,299.40/7,452.97
  6. Step 6: Final answer
    x = 5,888.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.