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Finding the Fourth Proportional to 11,646.18, 16,071.39 and 6,340.86

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Solution

The fourth proportional to 11,646.18, 16,071.39 and 6,340.86 is: 8,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.18 : 16,071.39 = 6,340.86 : x
  2. Step 2: Convert to fraction form
    11,646.18/16,071.39 = 6,340.86/x
  3. Step 3: Cross multiply
    11,646.18x = 16,071.39 × 6,340.86
  4. Step 4: Simplify right side
    11,646.18x = 101,906,434.00
  5. Step 5: Solve for x
    x = 101,906,434.00/11,646.18
  6. Step 6: Final answer
    x = 8,750.20

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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.