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Finding the Fourth Proportional to 6,289.77, 8,683.67 and 4,167.10

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Solution

The fourth proportional to 6,289.77, 8,683.67 and 4,167.10 is: 5,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.77 : 8,683.67 = 4,167.10 : x
  2. Step 2: Convert to fraction form
    6,289.77/8,683.67 = 4,167.10/x
  3. Step 3: Cross multiply
    6,289.77x = 8,683.67 × 4,167.10
  4. Step 4: Simplify right side
    6,289.77x = 36,185,693.68
  5. Step 5: Solve for x
    x = 36,185,693.68/6,289.77
  6. Step 6: Final answer
    x = 5,753.10

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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.