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Finding the Fourth Proportional to 10,005.54, 13,809.36 and 5,816.22

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Solution

The fourth proportional to 10,005.54, 13,809.36 and 5,816.22 is: 8,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.54 : 13,809.36 = 5,816.22 : x
  2. Step 2: Convert to fraction form
    10,005.54/13,809.36 = 5,816.22/x
  3. Step 3: Cross multiply
    10,005.54x = 13,809.36 × 5,816.22
  4. Step 4: Simplify right side
    10,005.54x = 80,318,275.82
  5. Step 5: Solve for x
    x = 80,318,275.82/10,005.54
  6. Step 6: Final answer
    x = 8,027.38

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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.