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Finding the Fourth Proportional to 7,884.72, 10,870.76 and 6,463.12

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Solution

The fourth proportional to 7,884.72, 10,870.76 and 6,463.12 is: 8,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.72 : 10,870.76 = 6,463.12 : x
  2. Step 2: Convert to fraction form
    7,884.72/10,870.76 = 6,463.12/x
  3. Step 3: Cross multiply
    7,884.72x = 10,870.76 × 6,463.12
  4. Step 4: Simplify right side
    7,884.72x = 70,259,026.37
  5. Step 5: Solve for x
    x = 70,259,026.37/7,884.72
  6. Step 6: Final answer
    x = 8,910.78

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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.