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Finding the Fourth Proportional to 7,824.76, 10,799.06 and 4,468.05

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Solution

The fourth proportional to 7,824.76, 10,799.06 and 4,468.05 is: 6,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.76 : 10,799.06 = 4,468.05 : x
  2. Step 2: Convert to fraction form
    7,824.76/10,799.06 = 4,468.05/x
  3. Step 3: Cross multiply
    7,824.76x = 10,799.06 × 4,468.05
  4. Step 4: Simplify right side
    7,824.76x = 48,250,717.69
  5. Step 5: Solve for x
    x = 48,250,717.69/7,824.76
  6. Step 6: Final answer
    x = 6,166.42

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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.