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Finding the Fourth Proportional to 7,919.36, 11,871.20 and 3,752

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Solution

The fourth proportional to 7,919.36, 11,871.20 and 3,752 is: 5,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.36 : 11,871.20 = 3,752 : x
  2. Step 2: Convert to fraction form
    7,919.36/11,871.20 = 3,752/x
  3. Step 3: Cross multiply
    7,919.36x = 11,871.20 × 3,752
  4. Step 4: Simplify right side
    7,919.36x = 44,540,742.40
  5. Step 5: Solve for x
    x = 44,540,742.40/7,919.36
  6. Step 6: Final answer
    x = 5,624.29

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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.