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Finding the Fourth Proportional to 6,680.68, 10,021.02 and 4,219.24

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Solution

The fourth proportional to 6,680.68, 10,021.02 and 4,219.24 is: 6,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.68 : 10,021.02 = 4,219.24 : x
  2. Step 2: Convert to fraction form
    6,680.68/10,021.02 = 4,219.24/x
  3. Step 3: Cross multiply
    6,680.68x = 10,021.02 × 4,219.24
  4. Step 4: Simplify right side
    6,680.68x = 42,281,088.42
  5. Step 5: Solve for x
    x = 42,281,088.42/6,680.68
  6. Step 6: Final answer
    x = 6,328.86

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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.