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Finding the Fourth Proportional to 11,149.64, 15,381.70 and 6,950.60

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Solution

The fourth proportional to 11,149.64, 15,381.70 and 6,950.60 is: 9,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.64 : 15,381.70 = 6,950.60 : x
  2. Step 2: Convert to fraction form
    11,149.64/15,381.70 = 6,950.60/x
  3. Step 3: Cross multiply
    11,149.64x = 15,381.70 × 6,950.60
  4. Step 4: Simplify right side
    11,149.64x = 106,912,044.02
  5. Step 5: Solve for x
    x = 106,912,044.02/11,149.64
  6. Step 6: Final answer
    x = 9,588.83

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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.