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Finding the Fourth Proportional to 10,745.60, 14,828.54 and 5,965.76

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Solution

The fourth proportional to 10,745.60, 14,828.54 and 5,965.76 is: 8,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.60 : 14,828.54 = 5,965.76 : x
  2. Step 2: Convert to fraction form
    10,745.60/14,828.54 = 5,965.76/x
  3. Step 3: Cross multiply
    10,745.60x = 14,828.54 × 5,965.76
  4. Step 4: Simplify right side
    10,745.60x = 88,463,451.56
  5. Step 5: Solve for x
    x = 88,463,451.56/10,745.60
  6. Step 6: Final answer
    x = 8,232.53

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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.