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Finding the Fourth Proportional to 6,966.40, 10,451.04 and 2,349.76

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Solution

The fourth proportional to 6,966.40, 10,451.04 and 2,349.76 is: 3,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.40 : 10,451.04 = 2,349.76 : x
  2. Step 2: Convert to fraction form
    6,966.40/10,451.04 = 2,349.76/x
  3. Step 3: Cross multiply
    6,966.40x = 10,451.04 × 2,349.76
  4. Step 4: Simplify right side
    6,966.40x = 24,557,435.75
  5. Step 5: Solve for x
    x = 24,557,435.75/6,966.40
  6. Step 6: Final answer
    x = 3,525.13

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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.