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Finding the Fourth Proportional to 11,807.98, 17,707.84 and 3,485.78

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Solution

The fourth proportional to 11,807.98, 17,707.84 and 3,485.78 is: 5,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.98 : 17,707.84 = 3,485.78 : x
  2. Step 2: Convert to fraction form
    11,807.98/17,707.84 = 3,485.78/x
  3. Step 3: Cross multiply
    11,807.98x = 17,707.84 × 3,485.78
  4. Step 4: Simplify right side
    11,807.98x = 61,725,634.52
  5. Step 5: Solve for x
    x = 61,725,634.52/11,807.98
  6. Step 6: Final answer
    x = 5,227.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.