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Finding the Fourth Proportional to 10,603.23, 14,631.38 and 6,128.43

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Solution

The fourth proportional to 10,603.23, 14,631.38 and 6,128.43 is: 8,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.23 : 14,631.38 = 6,128.43 : x
  2. Step 2: Convert to fraction form
    10,603.23/14,631.38 = 6,128.43/x
  3. Step 3: Cross multiply
    10,603.23x = 14,631.38 × 6,128.43
  4. Step 4: Simplify right side
    10,603.23x = 89,667,357.49
  5. Step 5: Solve for x
    x = 89,667,357.49/10,603.23
  6. Step 6: Final answer
    x = 8,456.61

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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.