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Finding the Fourth Proportional to 11,396.43, 15,714.68 and 7,410.15

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Solution

The fourth proportional to 11,396.43, 15,714.68 and 7,410.15 is: 10,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.43 : 15,714.68 = 7,410.15 : x
  2. Step 2: Convert to fraction form
    11,396.43/15,714.68 = 7,410.15/x
  3. Step 3: Cross multiply
    11,396.43x = 15,714.68 × 7,410.15
  4. Step 4: Simplify right side
    11,396.43x = 116,448,098.95
  5. Step 5: Solve for x
    x = 116,448,098.95/11,396.43
  6. Step 6: Final answer
    x = 10,217.95

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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.