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Finding the Fourth Proportional to 11,695.39, 16,139.66 and 6,390.09

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Solution

The fourth proportional to 11,695.39, 16,139.66 and 6,390.09 is: 8,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.39 : 16,139.66 = 6,390.09 : x
  2. Step 2: Convert to fraction form
    11,695.39/16,139.66 = 6,390.09/x
  3. Step 3: Cross multiply
    11,695.39x = 16,139.66 × 6,390.09
  4. Step 4: Simplify right side
    11,695.39x = 103,133,848.02
  5. Step 5: Solve for x
    x = 103,133,848.02/11,695.39
  6. Step 6: Final answer
    x = 8,818.34

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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.