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Finding the Fourth Proportional to 10,626.70, 14,663.82 and 6,149.56

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Solution

The fourth proportional to 10,626.70, 14,663.82 and 6,149.56 is: 8,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.70 : 14,663.82 = 6,149.56 : x
  2. Step 2: Convert to fraction form
    10,626.70/14,663.82 = 6,149.56/x
  3. Step 3: Cross multiply
    10,626.70x = 14,663.82 × 6,149.56
  4. Step 4: Simplify right side
    10,626.70x = 90,176,040.92
  5. Step 5: Solve for x
    x = 90,176,040.92/10,626.70
  6. Step 6: Final answer
    x = 8,485.80

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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.