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Finding the Fourth Proportional to 11,806.61, 16,293.14 and 6,501.43

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Solution

The fourth proportional to 11,806.61, 16,293.14 and 6,501.43 is: 8,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.61 : 16,293.14 = 6,501.43 : x
  2. Step 2: Convert to fraction form
    11,806.61/16,293.14 = 6,501.43/x
  3. Step 3: Cross multiply
    11,806.61x = 16,293.14 × 6,501.43
  4. Step 4: Simplify right side
    11,806.61x = 105,928,721.43
  5. Step 5: Solve for x
    x = 105,928,721.43/11,806.61
  6. Step 6: Final answer
    x = 8,971.99

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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.