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Finding the Fourth Proportional to 10,639.29, 14,683.97 and 8,116.64

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Solution

The fourth proportional to 10,639.29, 14,683.97 and 8,116.64 is: 11,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.29 : 14,683.97 = 8,116.64 : x
  2. Step 2: Convert to fraction form
    10,639.29/14,683.97 = 8,116.64/x
  3. Step 3: Cross multiply
    10,639.29x = 14,683.97 × 8,116.64
  4. Step 4: Simplify right side
    10,639.29x = 119,184,498.26
  5. Step 5: Solve for x
    x = 119,184,498.26/10,639.29
  6. Step 6: Final answer
    x = 11,202.30

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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.