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Finding the Fourth Proportional to 8,117.15, 11,208.50 and 5,138.24

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Solution

The fourth proportional to 8,117.15, 11,208.50 and 5,138.24 is: 7,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.15 : 11,208.50 = 5,138.24 : x
  2. Step 2: Convert to fraction form
    8,117.15/11,208.50 = 5,138.24/x
  3. Step 3: Cross multiply
    8,117.15x = 11,208.50 × 5,138.24
  4. Step 4: Simplify right side
    8,117.15x = 57,591,881.31
  5. Step 5: Solve for x
    x = 57,591,881.31/8,117.15
  6. Step 6: Final answer
    x = 7,095.09

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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.