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Finding the Fourth Proportional to 10,975.86, 16,447.50 and 5,765.94

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Solution

The fourth proportional to 10,975.86, 16,447.50 and 5,765.94 is: 8,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.86 : 16,447.50 = 5,765.94 : x
  2. Step 2: Convert to fraction form
    10,975.86/16,447.50 = 5,765.94/x
  3. Step 3: Cross multiply
    10,975.86x = 16,447.50 × 5,765.94
  4. Step 4: Simplify right side
    10,975.86x = 94,835,298.15
  5. Step 5: Solve for x
    x = 94,835,298.15/10,975.86
  6. Step 6: Final answer
    x = 8,640.35

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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.