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Finding the Fourth Proportional to 6,994.10, 10,488.03 and 3,706.41

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Solution

The fourth proportional to 6,994.10, 10,488.03 and 3,706.41 is: 5,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.10 : 10,488.03 = 3,706.41 : x
  2. Step 2: Convert to fraction form
    6,994.10/10,488.03 = 3,706.41/x
  3. Step 3: Cross multiply
    6,994.10x = 10,488.03 × 3,706.41
  4. Step 4: Simplify right side
    6,994.10x = 38,872,939.27
  5. Step 5: Solve for x
    x = 38,872,939.27/6,994.10
  6. Step 6: Final answer
    x = 5,557.97

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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.