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Finding the Fourth Proportional to 7,184.77, 10,777.86 and 2,253.08

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Solution

The fourth proportional to 7,184.77, 10,777.86 and 2,253.08 is: 3,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.77 : 10,777.86 = 2,253.08 : x
  2. Step 2: Convert to fraction form
    7,184.77/10,777.86 = 2,253.08/x
  3. Step 3: Cross multiply
    7,184.77x = 10,777.86 × 2,253.08
  4. Step 4: Simplify right side
    7,184.77x = 24,283,407.75
  5. Step 5: Solve for x
    x = 24,283,407.75/7,184.77
  6. Step 6: Final answer
    x = 3,379.85

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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.