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Finding the Fourth Proportional to 7,887.64, 11,820.78 and 4,377.46

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Solution

The fourth proportional to 7,887.64, 11,820.78 and 4,377.46 is: 6,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.64 : 11,820.78 = 4,377.46 : x
  2. Step 2: Convert to fraction form
    7,887.64/11,820.78 = 4,377.46/x
  3. Step 3: Cross multiply
    7,887.64x = 11,820.78 × 4,377.46
  4. Step 4: Simplify right side
    7,887.64x = 51,744,991.62
  5. Step 5: Solve for x
    x = 51,744,991.62/7,887.64
  6. Step 6: Final answer
    x = 6,560.26

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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.