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Finding the Fourth Proportional to 5,346.84, 8,011.86 and 4,112.76

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Solution

The fourth proportional to 5,346.84, 8,011.86 and 4,112.76 is: 6,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.84 : 8,011.86 = 4,112.76 : x
  2. Step 2: Convert to fraction form
    5,346.84/8,011.86 = 4,112.76/x
  3. Step 3: Cross multiply
    5,346.84x = 8,011.86 × 4,112.76
  4. Step 4: Simplify right side
    5,346.84x = 32,950,857.33
  5. Step 5: Solve for x
    x = 32,950,857.33/5,346.84
  6. Step 6: Final answer
    x = 6,162.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.