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Finding the Fourth Proportional to 6,966.08, 10,439.04 and 3,498.56

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Solution

The fourth proportional to 6,966.08, 10,439.04 and 3,498.56 is: 5,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.08 : 10,439.04 = 3,498.56 : x
  2. Step 2: Convert to fraction form
    6,966.08/10,439.04 = 3,498.56/x
  3. Step 3: Cross multiply
    6,966.08x = 10,439.04 × 3,498.56
  4. Step 4: Simplify right side
    6,966.08x = 36,521,607.78
  5. Step 5: Solve for x
    x = 36,521,607.78/6,966.08
  6. Step 6: Final answer
    x = 5,242.78

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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.