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Finding the Fourth Proportional to 8,105.49, 11,181.72 and 4,746.21

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Solution

The fourth proportional to 8,105.49, 11,181.72 and 4,746.21 is: 6,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.49 : 11,181.72 = 4,746.21 : x
  2. Step 2: Convert to fraction form
    8,105.49/11,181.72 = 4,746.21/x
  3. Step 3: Cross multiply
    8,105.49x = 11,181.72 × 4,746.21
  4. Step 4: Simplify right side
    8,105.49x = 53,070,791.28
  5. Step 5: Solve for x
    x = 53,070,791.28/8,105.49
  6. Step 6: Final answer
    x = 6,547.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.