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Finding the Fourth Proportional to 7,672.74, 11,509.11 and 2,479.02

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Solution

The fourth proportional to 7,672.74, 11,509.11 and 2,479.02 is: 3,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.74 : 11,509.11 = 2,479.02 : x
  2. Step 2: Convert to fraction form
    7,672.74/11,509.11 = 2,479.02/x
  3. Step 3: Cross multiply
    7,672.74x = 11,509.11 × 2,479.02
  4. Step 4: Simplify right side
    7,672.74x = 28,531,313.87
  5. Step 5: Solve for x
    x = 28,531,313.87/7,672.74
  6. Step 6: Final answer
    x = 3,718.53

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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.