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Finding the Fourth Proportional to 7,552.38, 10,432.26 and 6,297.54

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Solution

The fourth proportional to 7,552.38, 10,432.26 and 6,297.54 is: 8,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.38 : 10,432.26 = 6,297.54 : x
  2. Step 2: Convert to fraction form
    7,552.38/10,432.26 = 6,297.54/x
  3. Step 3: Cross multiply
    7,552.38x = 10,432.26 × 6,297.54
  4. Step 4: Simplify right side
    7,552.38x = 65,697,574.64
  5. Step 5: Solve for x
    x = 65,697,574.64/7,552.38
  6. Step 6: Final answer
    x = 8,698.92

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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.