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Finding the Fourth Proportional to 10,690.20, 14,752.08 and 5,974.56

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Solution

The fourth proportional to 10,690.20, 14,752.08 and 5,974.56 is: 8,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.20 : 14,752.08 = 5,974.56 : x
  2. Step 2: Convert to fraction form
    10,690.20/14,752.08 = 5,974.56/x
  3. Step 3: Cross multiply
    10,690.20x = 14,752.08 × 5,974.56
  4. Step 4: Simplify right side
    10,690.20x = 88,137,187.08
  5. Step 5: Solve for x
    x = 88,137,187.08/10,690.20
  6. Step 6: Final answer
    x = 8,244.67

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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.