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Finding the Fourth Proportional to 7,559.70, 11,344 and 3,176.82

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Solution

The fourth proportional to 7,559.70, 11,344 and 3,176.82 is: 4,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.70 : 11,344 = 3,176.82 : x
  2. Step 2: Convert to fraction form
    7,559.70/11,344 = 3,176.82/x
  3. Step 3: Cross multiply
    7,559.70x = 11,344 × 3,176.82
  4. Step 4: Simplify right side
    7,559.70x = 36,037,846.08
  5. Step 5: Solve for x
    x = 36,037,846.08/7,559.70
  6. Step 6: Final answer
    x = 4,767.10

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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.