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Finding the Fourth Proportional to 10,356.13, 14,290.22 and 5,879.84

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Solution

The fourth proportional to 10,356.13, 14,290.22 and 5,879.84 is: 8,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.13 : 14,290.22 = 5,879.84 : x
  2. Step 2: Convert to fraction form
    10,356.13/14,290.22 = 5,879.84/x
  3. Step 3: Cross multiply
    10,356.13x = 14,290.22 × 5,879.84
  4. Step 4: Simplify right side
    10,356.13x = 84,024,230.80
  5. Step 5: Solve for x
    x = 84,024,230.80/10,356.13
  6. Step 6: Final answer
    x = 8,113.48

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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.