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Finding the Fourth Proportional to 8,820.90, 12,175.38 and 5,046.12

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Solution

The fourth proportional to 8,820.90, 12,175.38 and 5,046.12 is: 6,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.90 : 12,175.38 = 5,046.12 : x
  2. Step 2: Convert to fraction form
    8,820.90/12,175.38 = 5,046.12/x
  3. Step 3: Cross multiply
    8,820.90x = 12,175.38 × 5,046.12
  4. Step 4: Simplify right side
    8,820.90x = 61,438,428.53
  5. Step 5: Solve for x
    x = 61,438,428.53/8,820.90
  6. Step 6: Final answer
    x = 6,965.10

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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.