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Finding the Fourth Proportional to 10,605.87, 14,636.34 and 5,890.41

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Solution

The fourth proportional to 10,605.87, 14,636.34 and 5,890.41 is: 8,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.87 : 14,636.34 = 5,890.41 : x
  2. Step 2: Convert to fraction form
    10,605.87/14,636.34 = 5,890.41/x
  3. Step 3: Cross multiply
    10,605.87x = 14,636.34 × 5,890.41
  4. Step 4: Simplify right side
    10,605.87x = 86,214,043.50
  5. Step 5: Solve for x
    x = 86,214,043.50/10,605.87
  6. Step 6: Final answer
    x = 8,128.90

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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.