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Finding the Fourth Proportional to 7,474.34, 10,314.38 and 4,288.17

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Solution

The fourth proportional to 7,474.34, 10,314.38 and 4,288.17 is: 5,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.34 : 10,314.38 = 4,288.17 : x
  2. Step 2: Convert to fraction form
    7,474.34/10,314.38 = 4,288.17/x
  3. Step 3: Cross multiply
    7,474.34x = 10,314.38 × 4,288.17
  4. Step 4: Simplify right side
    7,474.34x = 44,229,741.87
  5. Step 5: Solve for x
    x = 44,229,741.87/7,474.34
  6. Step 6: Final answer
    x = 5,917.54

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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.