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Finding the Fourth Proportional to 10,807.56, 16,211.40 and 3,016.40

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Solution

The fourth proportional to 10,807.56, 16,211.40 and 3,016.40 is: 4,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.56 : 16,211.40 = 3,016.40 : x
  2. Step 2: Convert to fraction form
    10,807.56/16,211.40 = 3,016.40/x
  3. Step 3: Cross multiply
    10,807.56x = 16,211.40 × 3,016.40
  4. Step 4: Simplify right side
    10,807.56x = 48,900,066.96
  5. Step 5: Solve for x
    x = 48,900,066.96/10,807.56
  6. Step 6: Final answer
    x = 4,524.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.