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Finding the Fourth Proportional to 10,594.82, 14,620.86 and 5,879.10

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Solution

The fourth proportional to 10,594.82, 14,620.86 and 5,879.10 is: 8,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.82 : 14,620.86 = 5,879.10 : x
  2. Step 2: Convert to fraction form
    10,594.82/14,620.86 = 5,879.10/x
  3. Step 3: Cross multiply
    10,594.82x = 14,620.86 × 5,879.10
  4. Step 4: Simplify right side
    10,594.82x = 85,957,498.03
  5. Step 5: Solve for x
    x = 85,957,498.03/10,594.82
  6. Step 6: Final answer
    x = 8,113.16

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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.