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Finding the Fourth Proportional to 11,551.32, 17,329.12 and 3,655.82

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Solution

The fourth proportional to 11,551.32, 17,329.12 and 3,655.82 is: 5,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.32 : 17,329.12 = 3,655.82 : x
  2. Step 2: Convert to fraction form
    11,551.32/17,329.12 = 3,655.82/x
  3. Step 3: Cross multiply
    11,551.32x = 17,329.12 × 3,655.82
  4. Step 4: Simplify right side
    11,551.32x = 63,352,143.48
  5. Step 5: Solve for x
    x = 63,352,143.48/11,551.32
  6. Step 6: Final answer
    x = 5,484.41

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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.