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Finding the Fourth Proportional to 11,708.67, 16,156.09 and 7,233.90

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Solution

The fourth proportional to 11,708.67, 16,156.09 and 7,233.90 is: 9,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.67 : 16,156.09 = 7,233.90 : x
  2. Step 2: Convert to fraction form
    11,708.67/16,156.09 = 7,233.90/x
  3. Step 3: Cross multiply
    11,708.67x = 16,156.09 × 7,233.90
  4. Step 4: Simplify right side
    11,708.67x = 116,871,539.45
  5. Step 5: Solve for x
    x = 116,871,539.45/11,708.67
  6. Step 6: Final answer
    x = 9,981.62

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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.