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Finding the Fourth Proportional to 10,870.14, 16,304.16 and 3,473.30

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Solution

The fourth proportional to 10,870.14, 16,304.16 and 3,473.30 is: 5,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.14 : 16,304.16 = 3,473.30 : x
  2. Step 2: Convert to fraction form
    10,870.14/16,304.16 = 3,473.30/x
  3. Step 3: Cross multiply
    10,870.14x = 16,304.16 × 3,473.30
  4. Step 4: Simplify right side
    10,870.14x = 56,629,238.93
  5. Step 5: Solve for x
    x = 56,629,238.93/10,870.14
  6. Step 6: Final answer
    x = 5,209.61

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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.