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Finding the Fourth Proportional to 11,840.54, 17,743.85 and 8,695.88

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Solution

The fourth proportional to 11,840.54, 17,743.85 and 8,695.88 is: 13,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.54 : 17,743.85 = 8,695.88 : x
  2. Step 2: Convert to fraction form
    11,840.54/17,743.85 = 8,695.88/x
  3. Step 3: Cross multiply
    11,840.54x = 17,743.85 × 8,695.88
  4. Step 4: Simplify right side
    11,840.54x = 154,298,323.36
  5. Step 5: Solve for x
    x = 154,298,323.36/11,840.54
  6. Step 6: Final answer
    x = 13,031.36

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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.