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Finding the Fourth Proportional to 6,775.84, 10,180.80 and 4,311.76

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Solution

The fourth proportional to 6,775.84, 10,180.80 and 4,311.76 is: 6,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.84 : 10,180.80 = 4,311.76 : x
  2. Step 2: Convert to fraction form
    6,775.84/10,180.80 = 4,311.76/x
  3. Step 3: Cross multiply
    6,775.84x = 10,180.80 × 4,311.76
  4. Step 4: Simplify right side
    6,775.84x = 43,897,166.21
  5. Step 5: Solve for x
    x = 43,897,166.21/6,775.84
  6. Step 6: Final answer
    x = 6,478.48

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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.