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Finding the Fourth Proportional to 10,881.84, 16,327.86 and 7,555.20

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Solution

The fourth proportional to 10,881.84, 16,327.86 and 7,555.20 is: 11,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.84 : 16,327.86 = 7,555.20 : x
  2. Step 2: Convert to fraction form
    10,881.84/16,327.86 = 7,555.20/x
  3. Step 3: Cross multiply
    10,881.84x = 16,327.86 × 7,555.20
  4. Step 4: Simplify right side
    10,881.84x = 123,360,247.87
  5. Step 5: Solve for x
    x = 123,360,247.87/10,881.84
  6. Step 6: Final answer
    x = 11,336.34

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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.