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Finding the Fourth Proportional to 8,557.84, 11,809.38 and 5,021.92

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Solution

The fourth proportional to 8,557.84, 11,809.38 and 5,021.92 is: 6,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.84 : 11,809.38 = 5,021.92 : x
  2. Step 2: Convert to fraction form
    8,557.84/11,809.38 = 5,021.92/x
  3. Step 3: Cross multiply
    8,557.84x = 11,809.38 × 5,021.92
  4. Step 4: Simplify right side
    8,557.84x = 59,305,761.61
  5. Step 5: Solve for x
    x = 59,305,761.61/8,557.84
  6. Step 6: Final answer
    x = 6,929.99

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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.