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Finding the Fourth Proportional to 10,745.18, 14,824.78 and 6,497.54

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Solution

The fourth proportional to 10,745.18, 14,824.78 and 6,497.54 is: 8,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.18 : 14,824.78 = 6,497.54 : x
  2. Step 2: Convert to fraction form
    10,745.18/14,824.78 = 6,497.54/x
  3. Step 3: Cross multiply
    10,745.18x = 14,824.78 × 6,497.54
  4. Step 4: Simplify right side
    10,745.18x = 96,324,601.04
  5. Step 5: Solve for x
    x = 96,324,601.04/10,745.18
  6. Step 6: Final answer
    x = 8,964.45

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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.