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Finding the Fourth Proportional to 10,358.73, 14,295.65 and 6,112.31

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Solution

The fourth proportional to 10,358.73, 14,295.65 and 6,112.31 is: 8,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.73 : 14,295.65 = 6,112.31 : x
  2. Step 2: Convert to fraction form
    10,358.73/14,295.65 = 6,112.31/x
  3. Step 3: Cross multiply
    10,358.73x = 14,295.65 × 6,112.31
  4. Step 4: Simplify right side
    10,358.73x = 87,379,342.41
  5. Step 5: Solve for x
    x = 87,379,342.41/10,358.73
  6. Step 6: Final answer
    x = 8,435.33

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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.