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Finding the Fourth Proportional to 11,806.25, 16,292.63 and 6,501.06

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Solution

The fourth proportional to 11,806.25, 16,292.63 and 6,501.06 is: 8,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.25 : 16,292.63 = 6,501.06 : x
  2. Step 2: Convert to fraction form
    11,806.25/16,292.63 = 6,501.06/x
  3. Step 3: Cross multiply
    11,806.25x = 16,292.63 × 6,501.06
  4. Step 4: Simplify right side
    11,806.25x = 105,919,251.22
  5. Step 5: Solve for x
    x = 105,919,251.22/11,806.25
  6. Step 6: Final answer
    x = 8,971.46

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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.