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Finding the Fourth Proportional to 7,820.85, 10,791.77 and 6,231.53

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Solution

The fourth proportional to 7,820.85, 10,791.77 and 6,231.53 is: 8,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.85 : 10,791.77 = 6,231.53 : x
  2. Step 2: Convert to fraction form
    7,820.85/10,791.77 = 6,231.53/x
  3. Step 3: Cross multiply
    7,820.85x = 10,791.77 × 6,231.53
  4. Step 4: Simplify right side
    7,820.85x = 67,249,238.51
  5. Step 5: Solve for x
    x = 67,249,238.51/7,820.85
  6. Step 6: Final answer
    x = 8,598.71

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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.