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Finding the Fourth Proportional to 7,411.50, 11,119.83 and 3,712.91

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Solution

The fourth proportional to 7,411.50, 11,119.83 and 3,712.91 is: 5,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.50 : 11,119.83 = 3,712.91 : x
  2. Step 2: Convert to fraction form
    7,411.50/11,119.83 = 3,712.91/x
  3. Step 3: Cross multiply
    7,411.50x = 11,119.83 × 3,712.91
  4. Step 4: Simplify right side
    7,411.50x = 41,286,872.41
  5. Step 5: Solve for x
    x = 41,286,872.41/7,411.50
  6. Step 6: Final answer
    x = 5,570.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.