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Finding the Fourth Proportional to 7,401.20, 11,074.80 and 5,457.20

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Solution

The fourth proportional to 7,401.20, 11,074.80 and 5,457.20 is: 8,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.20 : 11,074.80 = 5,457.20 : x
  2. Step 2: Convert to fraction form
    7,401.20/11,074.80 = 5,457.20/x
  3. Step 3: Cross multiply
    7,401.20x = 11,074.80 × 5,457.20
  4. Step 4: Simplify right side
    7,401.20x = 60,437,398.56
  5. Step 5: Solve for x
    x = 60,437,398.56/7,401.20
  6. Step 6: Final answer
    x = 8,165.89

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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.