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Finding the Fourth Proportional to 10,311.74, 14,219.44 and 6,119.18

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Solution

The fourth proportional to 10,311.74, 14,219.44 and 6,119.18 is: 8,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.74 : 14,219.44 = 6,119.18 : x
  2. Step 2: Convert to fraction form
    10,311.74/14,219.44 = 6,119.18/x
  3. Step 3: Cross multiply
    10,311.74x = 14,219.44 × 6,119.18
  4. Step 4: Simplify right side
    10,311.74x = 87,011,226.46
  5. Step 5: Solve for x
    x = 87,011,226.46/10,311.74
  6. Step 6: Final answer
    x = 8,438.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.