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Finding the Fourth Proportional to 8,101.98, 11,181.39 and 4,565.43

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Solution

The fourth proportional to 8,101.98, 11,181.39 and 4,565.43 is: 6,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.98 : 11,181.39 = 4,565.43 : x
  2. Step 2: Convert to fraction form
    8,101.98/11,181.39 = 4,565.43/x
  3. Step 3: Cross multiply
    8,101.98x = 11,181.39 × 4,565.43
  4. Step 4: Simplify right side
    8,101.98x = 51,047,853.35
  5. Step 5: Solve for x
    x = 51,047,853.35/8,101.98
  6. Step 6: Final answer
    x = 6,300.66

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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.