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Finding the Fourth Proportional to 11,471.37, 15,831.30 and 6,692.47

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Solution

The fourth proportional to 11,471.37, 15,831.30 and 6,692.47 is: 9,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.37 : 15,831.30 = 6,692.47 : x
  2. Step 2: Convert to fraction form
    11,471.37/15,831.30 = 6,692.47/x
  3. Step 3: Cross multiply
    11,471.37x = 15,831.30 × 6,692.47
  4. Step 4: Simplify right side
    11,471.37x = 105,950,537.24
  5. Step 5: Solve for x
    x = 105,950,537.24/11,471.37
  6. Step 6: Final answer
    x = 9,236.08

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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.