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Finding the Fourth Proportional to 7,025.77, 9,687.12 and 5,682.82

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Solution

The fourth proportional to 7,025.77, 9,687.12 and 5,682.82 is: 7,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.77 : 9,687.12 = 5,682.82 : x
  2. Step 2: Convert to fraction form
    7,025.77/9,687.12 = 5,682.82/x
  3. Step 3: Cross multiply
    7,025.77x = 9,687.12 × 5,682.82
  4. Step 4: Simplify right side
    7,025.77x = 55,050,159.28
  5. Step 5: Solve for x
    x = 55,050,159.28/7,025.77
  6. Step 6: Final answer
    x = 7,835.46

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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.