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Finding the Fourth Proportional to 8,233.36, 11,362.62 and 5,434

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Solution

The fourth proportional to 8,233.36, 11,362.62 and 5,434 is: 7,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.36 : 11,362.62 = 5,434 : x
  2. Step 2: Convert to fraction form
    8,233.36/11,362.62 = 5,434/x
  3. Step 3: Cross multiply
    8,233.36x = 11,362.62 × 5,434
  4. Step 4: Simplify right side
    8,233.36x = 61,744,477.08
  5. Step 5: Solve for x
    x = 61,744,477.08/8,233.36
  6. Step 6: Final answer
    x = 7,499.30

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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.