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Finding the Fourth Proportional to 11,663.16, 16,086.06 and 7,471.80

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Solution

The fourth proportional to 11,663.16, 16,086.06 and 7,471.80 is: 10,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.16 : 16,086.06 = 7,471.80 : x
  2. Step 2: Convert to fraction form
    11,663.16/16,086.06 = 7,471.80/x
  3. Step 3: Cross multiply
    11,663.16x = 16,086.06 × 7,471.80
  4. Step 4: Simplify right side
    11,663.16x = 120,191,823.11
  5. Step 5: Solve for x
    x = 120,191,823.11/11,663.16
  6. Step 6: Final answer
    x = 10,305.25

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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.