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Finding the Fourth Proportional to 7,182.73, 10,777.16 and 3,898.18

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Solution

The fourth proportional to 7,182.73, 10,777.16 and 3,898.18 is: 5,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.73 : 10,777.16 = 3,898.18 : x
  2. Step 2: Convert to fraction form
    7,182.73/10,777.16 = 3,898.18/x
  3. Step 3: Cross multiply
    7,182.73x = 10,777.16 × 3,898.18
  4. Step 4: Simplify right side
    7,182.73x = 42,011,309.57
  5. Step 5: Solve for x
    x = 42,011,309.57/7,182.73
  6. Step 6: Final answer
    x = 5,848.93

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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.