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Finding the Fourth Proportional to 8,012.32, 11,057.04 and 4,475.68

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Solution

The fourth proportional to 8,012.32, 11,057.04 and 4,475.68 is: 6,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.32 : 11,057.04 = 4,475.68 : x
  2. Step 2: Convert to fraction form
    8,012.32/11,057.04 = 4,475.68/x
  3. Step 3: Cross multiply
    8,012.32x = 11,057.04 × 4,475.68
  4. Step 4: Simplify right side
    8,012.32x = 49,487,772.79
  5. Step 5: Solve for x
    x = 49,487,772.79/8,012.32
  6. Step 6: Final answer
    x = 6,176.46

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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.