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Finding the Fourth Proportional to 7,410.72, 11,118.48 and 6,380.40

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Solution

The fourth proportional to 7,410.72, 11,118.48 and 6,380.40 is: 9,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.72 : 11,118.48 = 6,380.40 : x
  2. Step 2: Convert to fraction form
    7,410.72/11,118.48 = 6,380.40/x
  3. Step 3: Cross multiply
    7,410.72x = 11,118.48 × 6,380.40
  4. Step 4: Simplify right side
    7,410.72x = 70,940,349.79
  5. Step 5: Solve for x
    x = 70,940,349.79/7,410.72
  6. Step 6: Final answer
    x = 9,572.67

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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.