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Finding the Fourth Proportional to 8,767.82, 12,099.60 and 4,789

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Solution

The fourth proportional to 8,767.82, 12,099.60 and 4,789 is: 6,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.82 : 12,099.60 = 4,789 : x
  2. Step 2: Convert to fraction form
    8,767.82/12,099.60 = 4,789/x
  3. Step 3: Cross multiply
    8,767.82x = 12,099.60 × 4,789
  4. Step 4: Simplify right side
    8,767.82x = 57,944,984.40
  5. Step 5: Solve for x
    x = 57,944,984.40/8,767.82
  6. Step 6: Final answer
    x = 6,608.82

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