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Finding the Fourth Proportional to 11,404.16, 15,738.84 and 6,926.88

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Solution

The fourth proportional to 11,404.16, 15,738.84 and 6,926.88 is: 9,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.16 : 15,738.84 = 6,926.88 : x
  2. Step 2: Convert to fraction form
    11,404.16/15,738.84 = 6,926.88/x
  3. Step 3: Cross multiply
    11,404.16x = 15,738.84 × 6,926.88
  4. Step 4: Simplify right side
    11,404.16x = 109,021,056.02
  5. Step 5: Solve for x
    x = 109,021,056.02/11,404.16
  6. Step 6: Final answer
    x = 9,559.76

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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.