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Finding the Fourth Proportional to 6,955.49, 10,435.90 and 4,184.12

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Solution

The fourth proportional to 6,955.49, 10,435.90 and 4,184.12 is: 6,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.49 : 10,435.90 = 4,184.12 : x
  2. Step 2: Convert to fraction form
    6,955.49/10,435.90 = 4,184.12/x
  3. Step 3: Cross multiply
    6,955.49x = 10,435.90 × 4,184.12
  4. Step 4: Simplify right side
    6,955.49x = 43,665,081.38
  5. Step 5: Solve for x
    x = 43,665,081.38/6,955.49
  6. Step 6: Final answer
    x = 6,277.79

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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.