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Finding the Fourth Proportional to 12,371.78, 17,074.14 and 6,783.86

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Solution

The fourth proportional to 12,371.78, 17,074.14 and 6,783.86 is: 9,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.78 : 17,074.14 = 6,783.86 : x
  2. Step 2: Convert to fraction form
    12,371.78/17,074.14 = 6,783.86/x
  3. Step 3: Cross multiply
    12,371.78x = 17,074.14 × 6,783.86
  4. Step 4: Simplify right side
    12,371.78x = 115,828,618.07
  5. Step 5: Solve for x
    x = 115,828,618.07/12,371.78
  6. Step 6: Final answer
    x = 9,362.32

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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.