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Finding the Fourth Proportional to 10,520.86, 14,518.83 and 5,805.28

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Solution

The fourth proportional to 10,520.86, 14,518.83 and 5,805.28 is: 8,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.86 : 14,518.83 = 5,805.28 : x
  2. Step 2: Convert to fraction form
    10,520.86/14,518.83 = 5,805.28/x
  3. Step 3: Cross multiply
    10,520.86x = 14,518.83 × 5,805.28
  4. Step 4: Simplify right side
    10,520.86x = 84,285,873.42
  5. Step 5: Solve for x
    x = 84,285,873.42/10,520.86
  6. Step 6: Final answer
    x = 8,011.31

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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.