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Finding the Fourth Proportional to 10,745.52, 14,829.70 and 5,965.76

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Solution

The fourth proportional to 10,745.52, 14,829.70 and 5,965.76 is: 8,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.52 : 14,829.70 = 5,965.76 : x
  2. Step 2: Convert to fraction form
    10,745.52/14,829.70 = 5,965.76/x
  3. Step 3: Cross multiply
    10,745.52x = 14,829.70 × 5,965.76
  4. Step 4: Simplify right side
    10,745.52x = 88,470,356.92
  5. Step 5: Solve for x
    x = 88,470,356.92/10,745.52
  6. Step 6: Final answer
    x = 8,233.23

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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.