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Finding the Fourth Proportional to 10,233.56, 14,124.68 and 5,986.60

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Solution

The fourth proportional to 10,233.56, 14,124.68 and 5,986.60 is: 8,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.56 : 14,124.68 = 5,986.60 : x
  2. Step 2: Convert to fraction form
    10,233.56/14,124.68 = 5,986.60/x
  3. Step 3: Cross multiply
    10,233.56x = 14,124.68 × 5,986.60
  4. Step 4: Simplify right side
    10,233.56x = 84,558,809.29
  5. Step 5: Solve for x
    x = 84,558,809.29/10,233.56
  6. Step 6: Final answer
    x = 8,262.89

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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.