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Finding the Fourth Proportional to 8,081.70, 11,157.93 and 7,284.66

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Solution

The fourth proportional to 8,081.70, 11,157.93 and 7,284.66 is: 10,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.70 : 11,157.93 = 7,284.66 : x
  2. Step 2: Convert to fraction form
    8,081.70/11,157.93 = 7,284.66/x
  3. Step 3: Cross multiply
    8,081.70x = 11,157.93 × 7,284.66
  4. Step 4: Simplify right side
    8,081.70x = 81,281,726.35
  5. Step 5: Solve for x
    x = 81,281,726.35/8,081.70
  6. Step 6: Final answer
    x = 10,057.50

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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.