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Finding the Fourth Proportional to 10,840.32, 16,251.84 and 4,680

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Solution

The fourth proportional to 10,840.32, 16,251.84 and 4,680 is: 7,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.32 : 16,251.84 = 4,680 : x
  2. Step 2: Convert to fraction form
    10,840.32/16,251.84 = 4,680/x
  3. Step 3: Cross multiply
    10,840.32x = 16,251.84 × 4,680
  4. Step 4: Simplify right side
    10,840.32x = 76,058,611.20
  5. Step 5: Solve for x
    x = 76,058,611.20/10,840.32
  6. Step 6: Final answer
    x = 7,016.27

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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.