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Finding the Fourth Proportional to 7,643.80, 11,462.23 and 2,377.27

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Solution

The fourth proportional to 7,643.80, 11,462.23 and 2,377.27 is: 3,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.80 : 11,462.23 = 2,377.27 : x
  2. Step 2: Convert to fraction form
    7,643.80/11,462.23 = 2,377.27/x
  3. Step 3: Cross multiply
    7,643.80x = 11,462.23 × 2,377.27
  4. Step 4: Simplify right side
    7,643.80x = 27,248,815.51
  5. Step 5: Solve for x
    x = 27,248,815.51/7,643.80
  6. Step 6: Final answer
    x = 3,564.83

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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.