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Finding the Fourth Proportional to 7,338.59, 10,126.18 and 4,194.17

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Solution

The fourth proportional to 7,338.59, 10,126.18 and 4,194.17 is: 5,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.59 : 10,126.18 = 4,194.17 : x
  2. Step 2: Convert to fraction form
    7,338.59/10,126.18 = 4,194.17/x
  3. Step 3: Cross multiply
    7,338.59x = 10,126.18 × 4,194.17
  4. Step 4: Simplify right side
    7,338.59x = 42,470,920.37
  5. Step 5: Solve for x
    x = 42,470,920.37/7,338.59
  6. Step 6: Final answer
    x = 5,787.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.