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Finding the Fourth Proportional to 11,806.08, 16,292.50 and 6,501

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Solution

The fourth proportional to 11,806.08, 16,292.50 and 6,501 is: 8,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.08 : 16,292.50 = 6,501 : x
  2. Step 2: Convert to fraction form
    11,806.08/16,292.50 = 6,501/x
  3. Step 3: Cross multiply
    11,806.08x = 16,292.50 × 6,501
  4. Step 4: Simplify right side
    11,806.08x = 105,917,542.50
  5. Step 5: Solve for x
    x = 105,917,542.50/11,806.08
  6. Step 6: Final answer
    x = 8,971.44

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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.