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Finding the Fourth Proportional to 8,537.82, 12,806.73 and 2,698.53

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Solution

The fourth proportional to 8,537.82, 12,806.73 and 2,698.53 is: 4,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.82 : 12,806.73 = 2,698.53 : x
  2. Step 2: Convert to fraction form
    8,537.82/12,806.73 = 2,698.53/x
  3. Step 3: Cross multiply
    8,537.82x = 12,806.73 × 2,698.53
  4. Step 4: Simplify right side
    8,537.82x = 34,559,345.11
  5. Step 5: Solve for x
    x = 34,559,345.11/8,537.82
  6. Step 6: Final answer
    x = 4,047.80

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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.