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Finding the Fourth Proportional to 7,838.70, 10,817.68 and 4,435.48

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Solution

The fourth proportional to 7,838.70, 10,817.68 and 4,435.48 is: 6,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.70 : 10,817.68 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    7,838.70/10,817.68 = 4,435.48/x
  3. Step 3: Cross multiply
    7,838.70x = 10,817.68 × 4,435.48
  4. Step 4: Simplify right side
    7,838.70x = 47,981,603.29
  5. Step 5: Solve for x
    x = 47,981,603.29/7,838.70
  6. Step 6: Final answer
    x = 6,121.12

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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.