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Finding the Fourth Proportional to 11,897.20, 17,856.76 and 6,058

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Solution

The fourth proportional to 11,897.20, 17,856.76 and 6,058 is: 9,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.20 : 17,856.76 = 6,058 : x
  2. Step 2: Convert to fraction form
    11,897.20/17,856.76 = 6,058/x
  3. Step 3: Cross multiply
    11,897.20x = 17,856.76 × 6,058
  4. Step 4: Simplify right side
    11,897.20x = 108,176,252.08
  5. Step 5: Solve for x
    x = 108,176,252.08/11,897.20
  6. Step 6: Final answer
    x = 9,092.58

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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.