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Finding the Fourth Proportional to 8,012.74, 11,056.53 and 4,475.38

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Solution

The fourth proportional to 8,012.74, 11,056.53 and 4,475.38 is: 6,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.74 : 11,056.53 = 4,475.38 : x
  2. Step 2: Convert to fraction form
    8,012.74/11,056.53 = 4,475.38/x
  3. Step 3: Cross multiply
    8,012.74x = 11,056.53 × 4,475.38
  4. Step 4: Simplify right side
    8,012.74x = 49,482,173.23
  5. Step 5: Solve for x
    x = 49,482,173.23/8,012.74
  6. Step 6: Final answer
    x = 6,175.44

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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.