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Finding the Fourth Proportional to 10,745.43, 14,828.82 and 6,496.71

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Solution

The fourth proportional to 10,745.43, 14,828.82 and 6,496.71 is: 8,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.43 : 14,828.82 = 6,496.71 : x
  2. Step 2: Convert to fraction form
    10,745.43/14,828.82 = 6,496.71/x
  3. Step 3: Cross multiply
    10,745.43x = 14,828.82 × 6,496.71
  4. Step 4: Simplify right side
    10,745.43x = 96,338,543.18
  5. Step 5: Solve for x
    x = 96,338,543.18/10,745.43
  6. Step 6: Final answer
    x = 8,965.54

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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.