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Finding the Fourth Proportional to 11,798.74, 17,692 and 3,477.68

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Solution

The fourth proportional to 11,798.74, 17,692 and 3,477.68 is: 5,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.74 : 17,692 = 3,477.68 : x
  2. Step 2: Convert to fraction form
    11,798.74/17,692 = 3,477.68/x
  3. Step 3: Cross multiply
    11,798.74x = 17,692 × 3,477.68
  4. Step 4: Simplify right side
    11,798.74x = 61,527,114.56
  5. Step 5: Solve for x
    x = 61,527,114.56/11,798.74
  6. Step 6: Final answer
    x = 5,214.72

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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.