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Finding the Fourth Proportional to 7,671.38, 10,586.82 and 4,314.34

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Solution

The fourth proportional to 7,671.38, 10,586.82 and 4,314.34 is: 5,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.38 : 10,586.82 = 4,314.34 : x
  2. Step 2: Convert to fraction form
    7,671.38/10,586.82 = 4,314.34/x
  3. Step 3: Cross multiply
    7,671.38x = 10,586.82 × 4,314.34
  4. Step 4: Simplify right side
    7,671.38x = 45,675,141.00
  5. Step 5: Solve for x
    x = 45,675,141.00/7,671.38
  6. Step 6: Final answer
    x = 5,953.97

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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.