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Finding the Fourth Proportional to 6,955.74, 10,435.05 and 3,493.02

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Solution

The fourth proportional to 6,955.74, 10,435.05 and 3,493.02 is: 5,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.74 : 10,435.05 = 3,493.02 : x
  2. Step 2: Convert to fraction form
    6,955.74/10,435.05 = 3,493.02/x
  3. Step 3: Cross multiply
    6,955.74x = 10,435.05 × 3,493.02
  4. Step 4: Simplify right side
    6,955.74x = 36,449,838.35
  5. Step 5: Solve for x
    x = 36,449,838.35/6,955.74
  6. Step 6: Final answer
    x = 5,240.25

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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.