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Finding the Fourth Proportional to 11,806.88, 16,293.60 and 6,501.68

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Solution

The fourth proportional to 11,806.88, 16,293.60 and 6,501.68 is: 8,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.88 : 16,293.60 = 6,501.68 : x
  2. Step 2: Convert to fraction form
    11,806.88/16,293.60 = 6,501.68/x
  3. Step 3: Cross multiply
    11,806.88x = 16,293.60 × 6,501.68
  4. Step 4: Simplify right side
    11,806.88x = 105,935,773.25
  5. Step 5: Solve for x
    x = 105,935,773.25/11,806.88
  6. Step 6: Final answer
    x = 8,972.38

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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.