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Finding the Fourth Proportional to 8,196.10, 11,309.74 and 5,010.17

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Solution

The fourth proportional to 8,196.10, 11,309.74 and 5,010.17 is: 6,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.10 : 11,309.74 = 5,010.17 : x
  2. Step 2: Convert to fraction form
    8,196.10/11,309.74 = 5,010.17/x
  3. Step 3: Cross multiply
    8,196.10x = 11,309.74 × 5,010.17
  4. Step 4: Simplify right side
    8,196.10x = 56,663,735.80
  5. Step 5: Solve for x
    x = 56,663,735.80/8,196.10
  6. Step 6: Final answer
    x = 6,913.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.