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Finding the Fourth Proportional to 7,643.89, 11,465.83 and 5,046.22

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Solution

The fourth proportional to 7,643.89, 11,465.83 and 5,046.22 is: 7,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.89 : 11,465.83 = 5,046.22 : x
  2. Step 2: Convert to fraction form
    7,643.89/11,465.83 = 5,046.22/x
  3. Step 3: Cross multiply
    7,643.89x = 11,465.83 × 5,046.22
  4. Step 4: Simplify right side
    7,643.89x = 57,859,100.66
  5. Step 5: Solve for x
    x = 57,859,100.66/7,643.89
  6. Step 6: Final answer
    x = 7,569.33

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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.