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Finding the Fourth Proportional to 7,673.19, 10,589.12 and 4,529.38

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Solution

The fourth proportional to 7,673.19, 10,589.12 and 4,529.38 is: 6,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.19 : 10,589.12 = 4,529.38 : x
  2. Step 2: Convert to fraction form
    7,673.19/10,589.12 = 4,529.38/x
  3. Step 3: Cross multiply
    7,673.19x = 10,589.12 × 4,529.38
  4. Step 4: Simplify right side
    7,673.19x = 47,962,148.35
  5. Step 5: Solve for x
    x = 47,962,148.35/7,673.19
  6. Step 6: Final answer
    x = 6,250.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.