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Finding the Fourth Proportional to 8,333.25, 11,488.01 and 5,677.26

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Solution

The fourth proportional to 8,333.25, 11,488.01 and 5,677.26 is: 7,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.25 : 11,488.01 = 5,677.26 : x
  2. Step 2: Convert to fraction form
    8,333.25/11,488.01 = 5,677.26/x
  3. Step 3: Cross multiply
    8,333.25x = 11,488.01 × 5,677.26
  4. Step 4: Simplify right side
    8,333.25x = 65,220,419.65
  5. Step 5: Solve for x
    x = 65,220,419.65/8,333.25
  6. Step 6: Final answer
    x = 7,826.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.