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Finding the Fourth Proportional to 8,314.74, 11,474.37 and 4,537.99

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Solution

The fourth proportional to 8,314.74, 11,474.37 and 4,537.99 is: 6,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.74 : 11,474.37 = 4,537.99 : x
  2. Step 2: Convert to fraction form
    8,314.74/11,474.37 = 4,537.99/x
  3. Step 3: Cross multiply
    8,314.74x = 11,474.37 × 4,537.99
  4. Step 4: Simplify right side
    8,314.74x = 52,070,526.12
  5. Step 5: Solve for x
    x = 52,070,526.12/8,314.74
  6. Step 6: Final answer
    x = 6,262.44

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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.