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Finding the Fourth Proportional to 7,235.29, 9,982.88 and 4,250.54

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Solution

The fourth proportional to 7,235.29, 9,982.88 and 4,250.54 is: 5,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.29 : 9,982.88 = 4,250.54 : x
  2. Step 2: Convert to fraction form
    7,235.29/9,982.88 = 4,250.54/x
  3. Step 3: Cross multiply
    7,235.29x = 9,982.88 × 4,250.54
  4. Step 4: Simplify right side
    7,235.29x = 42,432,650.40
  5. Step 5: Solve for x
    x = 42,432,650.40/7,235.29
  6. Step 6: Final answer
    x = 5,864.68

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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.