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Finding the Fourth Proportional to 7,506.65, 11,267.03 and 3,811.53

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Solution

The fourth proportional to 7,506.65, 11,267.03 and 3,811.53 is: 5,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.65 : 11,267.03 = 3,811.53 : x
  2. Step 2: Convert to fraction form
    7,506.65/11,267.03 = 3,811.53/x
  3. Step 3: Cross multiply
    7,506.65x = 11,267.03 × 3,811.53
  4. Step 4: Simplify right side
    7,506.65x = 42,944,622.86
  5. Step 5: Solve for x
    x = 42,944,622.86/7,506.65
  6. Step 6: Final answer
    x = 5,720.88

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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.