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Finding the Fourth Proportional to 6,893.24, 10,340.10 and 4,429.40

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Solution

The fourth proportional to 6,893.24, 10,340.10 and 4,429.40 is: 6,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.24 : 10,340.10 = 4,429.40 : x
  2. Step 2: Convert to fraction form
    6,893.24/10,340.10 = 4,429.40/x
  3. Step 3: Cross multiply
    6,893.24x = 10,340.10 × 4,429.40
  4. Step 4: Simplify right side
    6,893.24x = 45,800,438.94
  5. Step 5: Solve for x
    x = 45,800,438.94/6,893.24
  6. Step 6: Final answer
    x = 6,644.25

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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.