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Finding the Fourth Proportional to 10,356.26, 14,292 and 5,879.87

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Solution

The fourth proportional to 10,356.26, 14,292 and 5,879.87 is: 8,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.26 : 14,292 = 5,879.87 : x
  2. Step 2: Convert to fraction form
    10,356.26/14,292 = 5,879.87/x
  3. Step 3: Cross multiply
    10,356.26x = 14,292 × 5,879.87
  4. Step 4: Simplify right side
    10,356.26x = 84,035,030.58
  5. Step 5: Solve for x
    x = 84,035,030.58/10,356.26
  6. Step 6: Final answer
    x = 8,114.42

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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.