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Finding the Fourth Proportional to 11,697.67, 17,551.14 and 5,124.88

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Solution

The fourth proportional to 11,697.67, 17,551.14 and 5,124.88 is: 7,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.67 : 17,551.14 = 5,124.88 : x
  2. Step 2: Convert to fraction form
    11,697.67/17,551.14 = 5,124.88/x
  3. Step 3: Cross multiply
    11,697.67x = 17,551.14 × 5,124.88
  4. Step 4: Simplify right side
    11,697.67x = 89,947,486.36
  5. Step 5: Solve for x
    x = 89,947,486.36/11,697.67
  6. Step 6: Final answer
    x = 7,689.35

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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.