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Finding the Fourth Proportional to 8,315.34, 11,474.55 and 4,538.22

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Solution

The fourth proportional to 8,315.34, 11,474.55 and 4,538.22 is: 6,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.34 : 11,474.55 = 4,538.22 : x
  2. Step 2: Convert to fraction form
    8,315.34/11,474.55 = 4,538.22/x
  3. Step 3: Cross multiply
    8,315.34x = 11,474.55 × 4,538.22
  4. Step 4: Simplify right side
    8,315.34x = 52,074,032.30
  5. Step 5: Solve for x
    x = 52,074,032.30/8,315.34
  6. Step 6: Final answer
    x = 6,262.41

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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.