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Finding the Fourth Proportional to 11,171.64, 15,417 and 6,391.52

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Solution

The fourth proportional to 11,171.64, 15,417 and 6,391.52 is: 8,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.64 : 15,417 = 6,391.52 : x
  2. Step 2: Convert to fraction form
    11,171.64/15,417 = 6,391.52/x
  3. Step 3: Cross multiply
    11,171.64x = 15,417 × 6,391.52
  4. Step 4: Simplify right side
    11,171.64x = 98,538,063.84
  5. Step 5: Solve for x
    x = 98,538,063.84/11,171.64
  6. Step 6: Final answer
    x = 8,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.