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Finding the Fourth Proportional to 8,144.19, 11,238.99 and 4,607.33

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Solution

The fourth proportional to 8,144.19, 11,238.99 and 4,607.33 is: 6,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.19 : 11,238.99 = 4,607.33 : x
  2. Step 2: Convert to fraction form
    8,144.19/11,238.99 = 4,607.33/x
  3. Step 3: Cross multiply
    8,144.19x = 11,238.99 × 4,607.33
  4. Step 4: Simplify right side
    8,144.19x = 51,781,656.57
  5. Step 5: Solve for x
    x = 51,781,656.57/8,144.19
  6. Step 6: Final answer
    x = 6,358.11

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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.