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Finding the Fourth Proportional to 7,633.80, 11,455.11 and 4,123.87

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Solution

The fourth proportional to 7,633.80, 11,455.11 and 4,123.87 is: 6,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.80 : 11,455.11 = 4,123.87 : x
  2. Step 2: Convert to fraction form
    7,633.80/11,455.11 = 4,123.87/x
  3. Step 3: Cross multiply
    7,633.80x = 11,455.11 × 4,123.87
  4. Step 4: Simplify right side
    7,633.80x = 47,239,384.48
  5. Step 5: Solve for x
    x = 47,239,384.48/7,633.80
  6. Step 6: Final answer
    x = 6,188.19

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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.