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Finding the Fourth Proportional to 12,785.09, 17,643.39 and 7,478.87

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Solution

The fourth proportional to 12,785.09, 17,643.39 and 7,478.87 is: 10,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.09 : 17,643.39 = 7,478.87 : x
  2. Step 2: Convert to fraction form
    12,785.09/17,643.39 = 7,478.87/x
  3. Step 3: Cross multiply
    12,785.09x = 17,643.39 × 7,478.87
  4. Step 4: Simplify right side
    12,785.09x = 131,952,531.95
  5. Step 5: Solve for x
    x = 131,952,531.95/12,785.09
  6. Step 6: Final answer
    x = 10,320.82

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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.