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Finding the Fourth Proportional to 8,101.54, 11,181.54 and 5,116.42

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Solution

The fourth proportional to 8,101.54, 11,181.54 and 5,116.42 is: 7,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.54 : 11,181.54 = 5,116.42 : x
  2. Step 2: Convert to fraction form
    8,101.54/11,181.54 = 5,116.42/x
  3. Step 3: Cross multiply
    8,101.54x = 11,181.54 × 5,116.42
  4. Step 4: Simplify right side
    8,101.54x = 57,209,454.89
  5. Step 5: Solve for x
    x = 57,209,454.89/8,101.54
  6. Step 6: Final answer
    x = 7,061.55

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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.