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Finding the Fourth Proportional to 11,835.74, 17,751.52 and 3,937.47

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Solution

The fourth proportional to 11,835.74, 17,751.52 and 3,937.47 is: 5,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.74 : 17,751.52 = 3,937.47 : x
  2. Step 2: Convert to fraction form
    11,835.74/17,751.52 = 3,937.47/x
  3. Step 3: Cross multiply
    11,835.74x = 17,751.52 × 3,937.47
  4. Step 4: Simplify right side
    11,835.74x = 69,896,015.81
  5. Step 5: Solve for x
    x = 69,896,015.81/11,835.74
  6. Step 6: Final answer
    x = 5,905.50

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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.