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Finding the Fourth Proportional to 11,381.78, 15,704.21 and 6,904.64

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Solution

The fourth proportional to 11,381.78, 15,704.21 and 6,904.64 is: 9,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.78 : 15,704.21 = 6,904.64 : x
  2. Step 2: Convert to fraction form
    11,381.78/15,704.21 = 6,904.64/x
  3. Step 3: Cross multiply
    11,381.78x = 15,704.21 × 6,904.64
  4. Step 4: Simplify right side
    11,381.78x = 108,431,973.06
  5. Step 5: Solve for x
    x = 108,431,973.06/11,381.78
  6. Step 6: Final answer
    x = 9,526.80

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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.