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Finding the Fourth Proportional to 8,312.28, 12,453.81 and 7,408.32

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Solution

The fourth proportional to 8,312.28, 12,453.81 and 7,408.32 is: 11,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.28 : 12,453.81 = 7,408.32 : x
  2. Step 2: Convert to fraction form
    8,312.28/12,453.81 = 7,408.32/x
  3. Step 3: Cross multiply
    8,312.28x = 12,453.81 × 7,408.32
  4. Step 4: Simplify right side
    8,312.28x = 92,261,809.70
  5. Step 5: Solve for x
    x = 92,261,809.70/8,312.28
  6. Step 6: Final answer
    x = 11,099.46

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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.