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Finding the Fourth Proportional to 11,977.47, 16,515.23 and 10,086.17

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Solution

The fourth proportional to 11,977.47, 16,515.23 and 10,086.17 is: 13,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.47 : 16,515.23 = 10,086.17 : x
  2. Step 2: Convert to fraction form
    11,977.47/16,515.23 = 10,086.17/x
  3. Step 3: Cross multiply
    11,977.47x = 16,515.23 × 10,086.17
  4. Step 4: Simplify right side
    11,977.47x = 166,575,284.36
  5. Step 5: Solve for x
    x = 166,575,284.36/11,977.47
  6. Step 6: Final answer
    x = 13,907.38

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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.