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Finding the Fourth Proportional to 7,761.82, 10,703.46 and 6,646.48

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Solution

The fourth proportional to 7,761.82, 10,703.46 and 6,646.48 is: 9,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.82 : 10,703.46 = 6,646.48 : x
  2. Step 2: Convert to fraction form
    7,761.82/10,703.46 = 6,646.48/x
  3. Step 3: Cross multiply
    7,761.82x = 10,703.46 × 6,646.48
  4. Step 4: Simplify right side
    7,761.82x = 71,140,332.82
  5. Step 5: Solve for x
    x = 71,140,332.82/7,761.82
  6. Step 6: Final answer
    x = 9,165.42

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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.