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Finding the Fourth Proportional to 11,397.87, 17,095.41 and 3,077.25

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Solution

The fourth proportional to 11,397.87, 17,095.41 and 3,077.25 is: 4,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.87 : 17,095.41 = 3,077.25 : x
  2. Step 2: Convert to fraction form
    11,397.87/17,095.41 = 3,077.25/x
  3. Step 3: Cross multiply
    11,397.87x = 17,095.41 × 3,077.25
  4. Step 4: Simplify right side
    11,397.87x = 52,606,850.42
  5. Step 5: Solve for x
    x = 52,606,850.42/11,397.87
  6. Step 6: Final answer
    x = 4,615.50

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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.