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Finding the Fourth Proportional to 7,187.67, 10,777.86 and 3,288.74

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Solution

The fourth proportional to 7,187.67, 10,777.86 and 3,288.74 is: 4,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.67 : 10,777.86 = 3,288.74 : x
  2. Step 2: Convert to fraction form
    7,187.67/10,777.86 = 3,288.74/x
  3. Step 3: Cross multiply
    7,187.67x = 10,777.86 × 3,288.74
  4. Step 4: Simplify right side
    7,187.67x = 35,445,525.41
  5. Step 5: Solve for x
    x = 35,445,525.41/7,187.67
  6. Step 6: Final answer
    x = 4,931.43

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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.