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Finding the Fourth Proportional to 11,645.95, 16,071.39 and 6,340.79

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Solution

The fourth proportional to 11,645.95, 16,071.39 and 6,340.79 is: 8,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.95 : 16,071.39 = 6,340.79 : x
  2. Step 2: Convert to fraction form
    11,645.95/16,071.39 = 6,340.79/x
  3. Step 3: Cross multiply
    11,645.95x = 16,071.39 × 6,340.79
  4. Step 4: Simplify right side
    11,645.95x = 101,905,309.00
  5. Step 5: Solve for x
    x = 101,905,309.00/11,645.95
  6. Step 6: Final answer
    x = 8,750.28

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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.