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Finding the Fourth Proportional to 11,343.42, 15,654.15 and 6,307.84

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Solution

The fourth proportional to 11,343.42, 15,654.15 and 6,307.84 is: 8,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.42 : 15,654.15 = 6,307.84 : x
  2. Step 2: Convert to fraction form
    11,343.42/15,654.15 = 6,307.84/x
  3. Step 3: Cross multiply
    11,343.42x = 15,654.15 × 6,307.84
  4. Step 4: Simplify right side
    11,343.42x = 98,743,873.54
  5. Step 5: Solve for x
    x = 98,743,873.54/11,343.42
  6. Step 6: Final answer
    x = 8,704.95

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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.