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Finding the Fourth Proportional to 6,899.84, 10,340.44 and 4,947.74

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Solution

The fourth proportional to 6,899.84, 10,340.44 and 4,947.74 is: 7,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.84 : 10,340.44 = 4,947.74 : x
  2. Step 2: Convert to fraction form
    6,899.84/10,340.44 = 4,947.74/x
  3. Step 3: Cross multiply
    6,899.84x = 10,340.44 × 4,947.74
  4. Step 4: Simplify right side
    6,899.84x = 51,161,808.61
  5. Step 5: Solve for x
    x = 51,161,808.61/6,899.84
  6. Step 6: Final answer
    x = 7,414.93

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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.