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Finding the Fourth Proportional to 8,833.74, 13,249.57 and 2,259.96

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Solution

The fourth proportional to 8,833.74, 13,249.57 and 2,259.96 is: 3,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.74 : 13,249.57 = 2,259.96 : x
  2. Step 2: Convert to fraction form
    8,833.74/13,249.57 = 2,259.96/x
  3. Step 3: Cross multiply
    8,833.74x = 13,249.57 × 2,259.96
  4. Step 4: Simplify right side
    8,833.74x = 29,943,498.22
  5. Step 5: Solve for x
    x = 29,943,498.22/8,833.74
  6. Step 6: Final answer
    x = 3,389.67

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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.