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Finding the Fourth Proportional to 8,833.68, 13,250.39 and 2,259.81

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Solution

The fourth proportional to 8,833.68, 13,250.39 and 2,259.81 is: 3,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.68 : 13,250.39 = 2,259.81 : x
  2. Step 2: Convert to fraction form
    8,833.68/13,250.39 = 2,259.81/x
  3. Step 3: Cross multiply
    8,833.68x = 13,250.39 × 2,259.81
  4. Step 4: Simplify right side
    8,833.68x = 29,943,352.53
  5. Step 5: Solve for x
    x = 29,943,352.53/8,833.68
  6. Step 6: Final answer
    x = 3,389.68

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Why These Related Problems?

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