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Finding the Fourth Proportional to 10,677.89, 14,735.44 and 6,201.83

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Solution

The fourth proportional to 10,677.89, 14,735.44 and 6,201.83 is: 8,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.89 : 14,735.44 = 6,201.83 : x
  2. Step 2: Convert to fraction form
    10,677.89/14,735.44 = 6,201.83/x
  3. Step 3: Cross multiply
    10,677.89x = 14,735.44 × 6,201.83
  4. Step 4: Simplify right side
    10,677.89x = 91,386,693.86
  5. Step 5: Solve for x
    x = 91,386,693.86/10,677.89
  6. Step 6: Final answer
    x = 8,558.50

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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.