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Finding the Fourth Proportional to 7,546.96, 11,320.44 and 2,000.86

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Solution

The fourth proportional to 7,546.96, 11,320.44 and 2,000.86 is: 3,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.96 : 11,320.44 = 2,000.86 : x
  2. Step 2: Convert to fraction form
    7,546.96/11,320.44 = 2,000.86/x
  3. Step 3: Cross multiply
    7,546.96x = 11,320.44 × 2,000.86
  4. Step 4: Simplify right side
    7,546.96x = 22,650,643.45
  5. Step 5: Solve for x
    x = 22,650,643.45/7,546.96
  6. Step 6: Final answer
    x = 3,001.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.