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Finding the Fourth Proportional to 7,645.83, 10,549.23 and 4,414.85

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Solution

The fourth proportional to 7,645.83, 10,549.23 and 4,414.85 is: 6,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.83 : 10,549.23 = 4,414.85 : x
  2. Step 2: Convert to fraction form
    7,645.83/10,549.23 = 4,414.85/x
  3. Step 3: Cross multiply
    7,645.83x = 10,549.23 × 4,414.85
  4. Step 4: Simplify right side
    7,645.83x = 46,573,294.44
  5. Step 5: Solve for x
    x = 46,573,294.44/7,645.83
  6. Step 6: Final answer
    x = 6,091.33

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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.