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Finding the Fourth Proportional to 6,340.71, 8,740.06 and 4,994.18

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Solution

The fourth proportional to 6,340.71, 8,740.06 and 4,994.18 is: 6,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.71 : 8,740.06 = 4,994.18 : x
  2. Step 2: Convert to fraction form
    6,340.71/8,740.06 = 4,994.18/x
  3. Step 3: Cross multiply
    6,340.71x = 8,740.06 × 4,994.18
  4. Step 4: Simplify right side
    6,340.71x = 43,649,469.14
  5. Step 5: Solve for x
    x = 43,649,469.14/6,340.71
  6. Step 6: Final answer
    x = 6,884.01

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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.