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Finding the Fourth Proportional to 7,820.71, 10,796.08 and 4,991.83

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Solution

The fourth proportional to 7,820.71, 10,796.08 and 4,991.83 is: 6,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.71 : 10,796.08 = 4,991.83 : x
  2. Step 2: Convert to fraction form
    7,820.71/10,796.08 = 4,991.83/x
  3. Step 3: Cross multiply
    7,820.71x = 10,796.08 × 4,991.83
  4. Step 4: Simplify right side
    7,820.71x = 53,892,210.54
  5. Step 5: Solve for x
    x = 53,892,210.54/7,820.71
  6. Step 6: Final answer
    x = 6,890.96

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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.