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Finding the Fourth Proportional to 8,187.78, 11,302.83 and 4,832.76

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Solution

The fourth proportional to 8,187.78, 11,302.83 and 4,832.76 is: 6,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.78 : 11,302.83 = 4,832.76 : x
  2. Step 2: Convert to fraction form
    8,187.78/11,302.83 = 4,832.76/x
  3. Step 3: Cross multiply
    8,187.78x = 11,302.83 × 4,832.76
  4. Step 4: Simplify right side
    8,187.78x = 54,623,864.71
  5. Step 5: Solve for x
    x = 54,623,864.71/8,187.78
  6. Step 6: Final answer
    x = 6,671.39

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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.