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Finding the Fourth Proportional to 7,787.82, 10,748.23 and 4,429.99

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Solution

The fourth proportional to 7,787.82, 10,748.23 and 4,429.99 is: 6,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.82 : 10,748.23 = 4,429.99 : x
  2. Step 2: Convert to fraction form
    7,787.82/10,748.23 = 4,429.99/x
  3. Step 3: Cross multiply
    7,787.82x = 10,748.23 × 4,429.99
  4. Step 4: Simplify right side
    7,787.82x = 47,614,553.78
  5. Step 5: Solve for x
    x = 47,614,553.78/7,787.82
  6. Step 6: Final answer
    x = 6,113.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.