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Finding the Fourth Proportional to 8,094.74, 11,175.57 and 5,854.28

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Solution

The fourth proportional to 8,094.74, 11,175.57 and 5,854.28 is: 8,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.74 : 11,175.57 = 5,854.28 : x
  2. Step 2: Convert to fraction form
    8,094.74/11,175.57 = 5,854.28/x
  3. Step 3: Cross multiply
    8,094.74x = 11,175.57 × 5,854.28
  4. Step 4: Simplify right side
    8,094.74x = 65,424,860.06
  5. Step 5: Solve for x
    x = 65,424,860.06/8,094.74
  6. Step 6: Final answer
    x = 8,082.40

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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.