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Finding the Fourth Proportional to 8,212.67, 11,320.17 and 6,417.01

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Solution

The fourth proportional to 8,212.67, 11,320.17 and 6,417.01 is: 8,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.67 : 11,320.17 = 6,417.01 : x
  2. Step 2: Convert to fraction form
    8,212.67/11,320.17 = 6,417.01/x
  3. Step 3: Cross multiply
    8,212.67x = 11,320.17 × 6,417.01
  4. Step 4: Simplify right side
    8,212.67x = 72,641,644.09
  5. Step 5: Solve for x
    x = 72,641,644.09/8,212.67
  6. Step 6: Final answer
    x = 8,845.07

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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.