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Finding the Fourth Proportional to 11,907.52, 17,824.24 and 8,791

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Solution

The fourth proportional to 11,907.52, 17,824.24 and 8,791 is: 13,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.52 : 17,824.24 = 8,791 : x
  2. Step 2: Convert to fraction form
    11,907.52/17,824.24 = 8,791/x
  3. Step 3: Cross multiply
    11,907.52x = 17,824.24 × 8,791
  4. Step 4: Simplify right side
    11,907.52x = 156,692,893.84
  5. Step 5: Solve for x
    x = 156,692,893.84/11,907.52
  6. Step 6: Final answer
    x = 13,159.15

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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.