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Finding the Fourth Proportional to 7,924.40, 11,872.20 and 6,455.60

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Solution

The fourth proportional to 7,924.40, 11,872.20 and 6,455.60 is: 9,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.40 : 11,872.20 = 6,455.60 : x
  2. Step 2: Convert to fraction form
    7,924.40/11,872.20 = 6,455.60/x
  3. Step 3: Cross multiply
    7,924.40x = 11,872.20 × 6,455.60
  4. Step 4: Simplify right side
    7,924.40x = 76,642,174.32
  5. Step 5: Solve for x
    x = 76,642,174.32/7,924.40
  6. Step 6: Final answer
    x = 9,671.67

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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.