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Finding the Fourth Proportional to 7,838.66, 11,761.59 and 3,397.68

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Solution

The fourth proportional to 7,838.66, 11,761.59 and 3,397.68 is: 5,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.66 : 11,761.59 = 3,397.68 : x
  2. Step 2: Convert to fraction form
    7,838.66/11,761.59 = 3,397.68/x
  3. Step 3: Cross multiply
    7,838.66x = 11,761.59 × 3,397.68
  4. Step 4: Simplify right side
    7,838.66x = 39,962,119.11
  5. Step 5: Solve for x
    x = 39,962,119.11/7,838.66
  6. Step 6: Final answer
    x = 5,098.08

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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.