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Finding the Fourth Proportional to 8,329.37, 11,494.67 and 4,971.53

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Solution

The fourth proportional to 8,329.37, 11,494.67 and 4,971.53 is: 6,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.37 : 11,494.67 = 4,971.53 : x
  2. Step 2: Convert to fraction form
    8,329.37/11,494.67 = 4,971.53/x
  3. Step 3: Cross multiply
    8,329.37x = 11,494.67 × 4,971.53
  4. Step 4: Simplify right side
    8,329.37x = 57,146,096.75
  5. Step 5: Solve for x
    x = 57,146,096.75/8,329.37
  6. Step 6: Final answer
    x = 6,860.79

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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.