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Finding the Fourth Proportional to 10,745.40, 14,827.91 and 5,964.97

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Solution

The fourth proportional to 10,745.40, 14,827.91 and 5,964.97 is: 8,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.40 : 14,827.91 = 5,964.97 : x
  2. Step 2: Convert to fraction form
    10,745.40/14,827.91 = 5,964.97/x
  3. Step 3: Cross multiply
    10,745.40x = 14,827.91 × 5,964.97
  4. Step 4: Simplify right side
    10,745.40x = 88,448,038.31
  5. Step 5: Solve for x
    x = 88,448,038.31/10,745.40
  6. Step 6: Final answer
    x = 8,231.25

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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.