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Finding the Fourth Proportional to 7,860.42, 11,784 and 3,414.72

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Solution

The fourth proportional to 7,860.42, 11,784 and 3,414.72 is: 5,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.42 : 11,784 = 3,414.72 : x
  2. Step 2: Convert to fraction form
    7,860.42/11,784 = 3,414.72/x
  3. Step 3: Cross multiply
    7,860.42x = 11,784 × 3,414.72
  4. Step 4: Simplify right side
    7,860.42x = 40,239,060.48
  5. Step 5: Solve for x
    x = 40,239,060.48/7,860.42
  6. Step 6: Final answer
    x = 5,119.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.