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Finding the Fourth Proportional to 8,545.36, 11,788.32 and 5,008

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Solution

The fourth proportional to 8,545.36, 11,788.32 and 5,008 is: 6,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.36 : 11,788.32 = 5,008 : x
  2. Step 2: Convert to fraction form
    8,545.36/11,788.32 = 5,008/x
  3. Step 3: Cross multiply
    8,545.36x = 11,788.32 × 5,008
  4. Step 4: Simplify right side
    8,545.36x = 59,035,906.56
  5. Step 5: Solve for x
    x = 59,035,906.56/8,545.36
  6. Step 6: Final answer
    x = 6,908.53

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Why These Related Problems?

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