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Finding the Fourth Proportional to 10,550.86, 15,828.05 and 4,314.22

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Solution

The fourth proportional to 10,550.86, 15,828.05 and 4,314.22 is: 6,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.86 : 15,828.05 = 4,314.22 : x
  2. Step 2: Convert to fraction form
    10,550.86/15,828.05 = 4,314.22/x
  3. Step 3: Cross multiply
    10,550.86x = 15,828.05 × 4,314.22
  4. Step 4: Simplify right side
    10,550.86x = 68,285,689.87
  5. Step 5: Solve for x
    x = 68,285,689.87/10,550.86
  6. Step 6: Final answer
    x = 6,472.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.