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Finding the Fourth Proportional to 8,823.96, 13,235.76 and 2,250

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Solution

The fourth proportional to 8,823.96, 13,235.76 and 2,250 is: 3,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.96 : 13,235.76 = 2,250 : x
  2. Step 2: Convert to fraction form
    8,823.96/13,235.76 = 2,250/x
  3. Step 3: Cross multiply
    8,823.96x = 13,235.76 × 2,250
  4. Step 4: Simplify right side
    8,823.96x = 29,780,460
  5. Step 5: Solve for x
    x = 29,780,460/8,823.96
  6. Step 6: Final answer
    x = 3,374.95

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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.