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Finding the Fourth Proportional to 10,295.37, 14,187.42 and 8,411.85

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Solution

The fourth proportional to 10,295.37, 14,187.42 and 8,411.85 is: 11,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.37 : 14,187.42 = 8,411.85 : x
  2. Step 2: Convert to fraction form
    10,295.37/14,187.42 = 8,411.85/x
  3. Step 3: Cross multiply
    10,295.37x = 14,187.42 × 8,411.85
  4. Step 4: Simplify right side
    10,295.37x = 119,342,448.93
  5. Step 5: Solve for x
    x = 119,342,448.93/10,295.37
  6. Step 6: Final answer
    x = 11,591.86

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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.