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Finding the Fourth Proportional to 8,137.46, 12,196.74 and 5,363.48

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Solution

The fourth proportional to 8,137.46, 12,196.74 and 5,363.48 is: 8,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.46 : 12,196.74 = 5,363.48 : x
  2. Step 2: Convert to fraction form
    8,137.46/12,196.74 = 5,363.48/x
  3. Step 3: Cross multiply
    8,137.46x = 12,196.74 × 5,363.48
  4. Step 4: Simplify right side
    8,137.46x = 65,416,971.06
  5. Step 5: Solve for x
    x = 65,416,971.06/8,137.46
  6. Step 6: Final answer
    x = 8,038.99

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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.