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Finding the Fourth Proportional to 10,600.26, 14,634.71 and 6,626.76

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Solution

The fourth proportional to 10,600.26, 14,634.71 and 6,626.76 is: 9,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.26 : 14,634.71 = 6,626.76 : x
  2. Step 2: Convert to fraction form
    10,600.26/14,634.71 = 6,626.76/x
  3. Step 3: Cross multiply
    10,600.26x = 14,634.71 × 6,626.76
  4. Step 4: Simplify right side
    10,600.26x = 96,980,604.53
  5. Step 5: Solve for x
    x = 96,980,604.53/10,600.26
  6. Step 6: Final answer
    x = 9,148.89

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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.