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Finding the Fourth Proportional to 10,553.86, 15,830.67 and 4,317.22

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Solution

The fourth proportional to 10,553.86, 15,830.67 and 4,317.22 is: 6,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.86 : 15,830.67 = 4,317.22 : x
  2. Step 2: Convert to fraction form
    10,553.86/15,830.67 = 4,317.22/x
  3. Step 3: Cross multiply
    10,553.86x = 15,830.67 × 4,317.22
  4. Step 4: Simplify right side
    10,553.86x = 68,344,485.14
  5. Step 5: Solve for x
    x = 68,344,485.14/10,553.86
  6. Step 6: Final answer
    x = 6,475.78

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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.