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Finding the Fourth Proportional to 7,568, 10,444.48 and 4,256.64

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Solution

The fourth proportional to 7,568, 10,444.48 and 4,256.64 is: 5,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568 : 10,444.48 = 4,256.64 : x
  2. Step 2: Convert to fraction form
    7,568/10,444.48 = 4,256.64/x
  3. Step 3: Cross multiply
    7,568x = 10,444.48 × 4,256.64
  4. Step 4: Simplify right side
    7,568x = 44,458,391.35
  5. Step 5: Solve for x
    x = 44,458,391.35/7,568
  6. Step 6: Final answer
    x = 5,874.52

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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.