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Finding the Fourth Proportional to 10,356.67, 14,291.72 and 5,879.82

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Solution

The fourth proportional to 10,356.67, 14,291.72 and 5,879.82 is: 8,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.67 : 14,291.72 = 5,879.82 : x
  2. Step 2: Convert to fraction form
    10,356.67/14,291.72 = 5,879.82/x
  3. Step 3: Cross multiply
    10,356.67x = 14,291.72 × 5,879.82
  4. Step 4: Simplify right side
    10,356.67x = 84,032,741.09
  5. Step 5: Solve for x
    x = 84,032,741.09/10,356.67
  6. Step 6: Final answer
    x = 8,113.88

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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.