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Finding the Fourth Proportional to 10,605.73, 14,636.37 and 5,890

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Solution

The fourth proportional to 10,605.73, 14,636.37 and 5,890 is: 8,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.73 : 14,636.37 = 5,890 : x
  2. Step 2: Convert to fraction form
    10,605.73/14,636.37 = 5,890/x
  3. Step 3: Cross multiply
    10,605.73x = 14,636.37 × 5,890
  4. Step 4: Simplify right side
    10,605.73x = 86,208,219.30
  5. Step 5: Solve for x
    x = 86,208,219.30/10,605.73
  6. Step 6: Final answer
    x = 8,128.46

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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.