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Finding the Fourth Proportional to 12,897.63, 17,798.91 and 7,519.91

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Solution

The fourth proportional to 12,897.63, 17,798.91 and 7,519.91 is: 10,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.63 : 17,798.91 = 7,519.91 : x
  2. Step 2: Convert to fraction form
    12,897.63/17,798.91 = 7,519.91/x
  3. Step 3: Cross multiply
    12,897.63x = 17,798.91 × 7,519.91
  4. Step 4: Simplify right side
    12,897.63x = 133,846,201.30
  5. Step 5: Solve for x
    x = 133,846,201.30/12,897.63
  6. Step 6: Final answer
    x = 10,377.58

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