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Finding the Fourth Proportional to 12,785.78, 17,643.12 and 7,479.56

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Solution

The fourth proportional to 12,785.78, 17,643.12 and 7,479.56 is: 10,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.78 : 17,643.12 = 7,479.56 : x
  2. Step 2: Convert to fraction form
    12,785.78/17,643.12 = 7,479.56/x
  3. Step 3: Cross multiply
    12,785.78x = 17,643.12 × 7,479.56
  4. Step 4: Simplify right side
    12,785.78x = 131,962,774.63
  5. Step 5: Solve for x
    x = 131,962,774.63/12,785.78
  6. Step 6: Final answer
    x = 10,321.06

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