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Finding the Fourth Proportional to 7,884.54, 10,870.56 and 6,463.08

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Solution

The fourth proportional to 7,884.54, 10,870.56 and 6,463.08 is: 8,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.54 : 10,870.56 = 6,463.08 : x
  2. Step 2: Convert to fraction form
    7,884.54/10,870.56 = 6,463.08/x
  3. Step 3: Cross multiply
    7,884.54x = 10,870.56 × 6,463.08
  4. Step 4: Simplify right side
    7,884.54x = 70,257,298.92
  5. Step 5: Solve for x
    x = 70,257,298.92/7,884.54
  6. Step 6: Final answer
    x = 8,910.77

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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.