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Finding the Fourth Proportional to 7,672.68, 11,488.50 and 4,381.25

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Solution

The fourth proportional to 7,672.68, 11,488.50 and 4,381.25 is: 6,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.68 : 11,488.50 = 4,381.25 : x
  2. Step 2: Convert to fraction form
    7,672.68/11,488.50 = 4,381.25/x
  3. Step 3: Cross multiply
    7,672.68x = 11,488.50 × 4,381.25
  4. Step 4: Simplify right side
    7,672.68x = 50,333,933.18
  5. Step 5: Solve for x
    x = 50,333,933.18/7,672.68
  6. Step 6: Final answer
    x = 6,560.15

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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.