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Finding the Fourth Proportional to 8,538.74, 12,790.80 and 4,833.18

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Solution

The fourth proportional to 8,538.74, 12,790.80 and 4,833.18 is: 7,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.74 : 12,790.80 = 4,833.18 : x
  2. Step 2: Convert to fraction form
    8,538.74/12,790.80 = 4,833.18/x
  3. Step 3: Cross multiply
    8,538.74x = 12,790.80 × 4,833.18
  4. Step 4: Simplify right side
    8,538.74x = 61,820,238.74
  5. Step 5: Solve for x
    x = 61,820,238.74/8,538.74
  6. Step 6: Final answer
    x = 7,239.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.