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Finding the Fourth Proportional to 7,568.64, 10,443.52 and 4,256

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Solution

The fourth proportional to 7,568.64, 10,443.52 and 4,256 is: 5,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.64 : 10,443.52 = 4,256 : x
  2. Step 2: Convert to fraction form
    7,568.64/10,443.52 = 4,256/x
  3. Step 3: Cross multiply
    7,568.64x = 10,443.52 × 4,256
  4. Step 4: Simplify right side
    7,568.64x = 44,447,621.12
  5. Step 5: Solve for x
    x = 44,447,621.12/7,568.64
  6. Step 6: Final answer
    x = 5,872.60

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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.