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Finding the Fourth Proportional to 8,823.69, 13,237.74 and 2,583.54

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Solution

The fourth proportional to 8,823.69, 13,237.74 and 2,583.54 is: 3,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.69 : 13,237.74 = 2,583.54 : x
  2. Step 2: Convert to fraction form
    8,823.69/13,237.74 = 2,583.54/x
  3. Step 3: Cross multiply
    8,823.69x = 13,237.74 × 2,583.54
  4. Step 4: Simplify right side
    8,823.69x = 34,200,230.80
  5. Step 5: Solve for x
    x = 34,200,230.80/8,823.69
  6. Step 6: Final answer
    x = 3,875.96

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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.