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Finding the Fourth Proportional to 10,595.14, 14,621.30 and 5,879.41

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Solution

The fourth proportional to 10,595.14, 14,621.30 and 5,879.41 is: 8,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.14 : 14,621.30 = 5,879.41 : x
  2. Step 2: Convert to fraction form
    10,595.14/14,621.30 = 5,879.41/x
  3. Step 3: Cross multiply
    10,595.14x = 14,621.30 × 5,879.41
  4. Step 4: Simplify right side
    10,595.14x = 85,964,617.43
  5. Step 5: Solve for x
    x = 85,964,617.43/10,595.14
  6. Step 6: Final answer
    x = 8,113.59

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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.