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Finding the Fourth Proportional to 11,381.32, 15,704.95 and 6,906.16

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Solution

The fourth proportional to 11,381.32, 15,704.95 and 6,906.16 is: 9,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.32 : 15,704.95 = 6,906.16 : x
  2. Step 2: Convert to fraction form
    11,381.32/15,704.95 = 6,906.16/x
  3. Step 3: Cross multiply
    11,381.32x = 15,704.95 × 6,906.16
  4. Step 4: Simplify right side
    11,381.32x = 108,460,784.44
  5. Step 5: Solve for x
    x = 108,460,784.44/11,381.32
  6. Step 6: Final answer
    x = 9,529.72

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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.