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Finding the Fourth Proportional to 7,777.82, 11,673.47 and 4,082.66

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Solution

The fourth proportional to 7,777.82, 11,673.47 and 4,082.66 is: 6,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.82 : 11,673.47 = 4,082.66 : x
  2. Step 2: Convert to fraction form
    7,777.82/11,673.47 = 4,082.66/x
  3. Step 3: Cross multiply
    7,777.82x = 11,673.47 × 4,082.66
  4. Step 4: Simplify right side
    7,777.82x = 47,658,730.25
  5. Step 5: Solve for x
    x = 47,658,730.25/7,777.82
  6. Step 6: Final answer
    x = 6,127.52

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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.