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Finding the Fourth Proportional to 10,047.81, 13,862.58 and 6,511.73

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Solution

The fourth proportional to 10,047.81, 13,862.58 and 6,511.73 is: 8,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.81 : 13,862.58 = 6,511.73 : x
  2. Step 2: Convert to fraction form
    10,047.81/13,862.58 = 6,511.73/x
  3. Step 3: Cross multiply
    10,047.81x = 13,862.58 × 6,511.73
  4. Step 4: Simplify right side
    10,047.81x = 90,269,284.33
  5. Step 5: Solve for x
    x = 90,269,284.33/10,047.81
  6. Step 6: Final answer
    x = 8,983.97

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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.