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Finding the Fourth Proportional to 7,387.64, 11,063.84 and 4,261.11

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Solution

The fourth proportional to 7,387.64, 11,063.84 and 4,261.11 is: 6,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.64 : 11,063.84 = 4,261.11 : x
  2. Step 2: Convert to fraction form
    7,387.64/11,063.84 = 4,261.11/x
  3. Step 3: Cross multiply
    7,387.64x = 11,063.84 × 4,261.11
  4. Step 4: Simplify right side
    7,387.64x = 47,144,183.94
  5. Step 5: Solve for x
    x = 47,144,183.94/7,387.64
  6. Step 6: Final answer
    x = 6,381.49

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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.