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Finding the Fourth Proportional to 10,745.59, 14,828.17 and 5,965.16

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Solution

The fourth proportional to 10,745.59, 14,828.17 and 5,965.16 is: 8,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.59 : 14,828.17 = 5,965.16 : x
  2. Step 2: Convert to fraction form
    10,745.59/14,828.17 = 5,965.16/x
  3. Step 3: Cross multiply
    10,745.59x = 14,828.17 × 5,965.16
  4. Step 4: Simplify right side
    10,745.59x = 88,452,317.50
  5. Step 5: Solve for x
    x = 88,452,317.50/10,745.59
  6. Step 6: Final answer
    x = 8,231.50

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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.