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Finding the Fourth Proportional to 10,568.64, 15,856.80 and 4,951.32

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Solution

The fourth proportional to 10,568.64, 15,856.80 and 4,951.32 is: 7,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.64 : 15,856.80 = 4,951.32 : x
  2. Step 2: Convert to fraction form
    10,568.64/15,856.80 = 4,951.32/x
  3. Step 3: Cross multiply
    10,568.64x = 15,856.80 × 4,951.32
  4. Step 4: Simplify right side
    10,568.64x = 78,512,090.98
  5. Step 5: Solve for x
    x = 78,512,090.98/10,568.64
  6. Step 6: Final answer
    x = 7,428.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.