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Finding the Fourth Proportional to 7,838.16, 11,760.84 and 3,397.18

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Solution

The fourth proportional to 7,838.16, 11,760.84 and 3,397.18 is: 5,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.16 : 11,760.84 = 3,397.18 : x
  2. Step 2: Convert to fraction form
    7,838.16/11,760.84 = 3,397.18/x
  3. Step 3: Cross multiply
    7,838.16x = 11,760.84 × 3,397.18
  4. Step 4: Simplify right side
    7,838.16x = 39,953,690.43
  5. Step 5: Solve for x
    x = 39,953,690.43/7,838.16
  6. Step 6: Final answer
    x = 5,097.33

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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.