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Finding the Fourth Proportional to 7,932.84, 10,947.06 and 4,788.48

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Solution

The fourth proportional to 7,932.84, 10,947.06 and 4,788.48 is: 6,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.84 : 10,947.06 = 4,788.48 : x
  2. Step 2: Convert to fraction form
    7,932.84/10,947.06 = 4,788.48/x
  3. Step 3: Cross multiply
    7,932.84x = 10,947.06 × 4,788.48
  4. Step 4: Simplify right side
    7,932.84x = 52,419,777.87
  5. Step 5: Solve for x
    x = 52,419,777.87/7,932.84
  6. Step 6: Final answer
    x = 6,607.95

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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.