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Finding the Fourth Proportional to 11,806.36, 16,292.88 and 6,501.20

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Solution

The fourth proportional to 11,806.36, 16,292.88 and 6,501.20 is: 8,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.36 : 16,292.88 = 6,501.20 : x
  2. Step 2: Convert to fraction form
    11,806.36/16,292.88 = 6,501.20/x
  3. Step 3: Cross multiply
    11,806.36x = 16,292.88 × 6,501.20
  4. Step 4: Simplify right side
    11,806.36x = 105,923,189.99
  5. Step 5: Solve for x
    x = 105,923,189.99/11,806.36
  6. Step 6: Final answer
    x = 8,971.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.