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Finding the Fourth Proportional to 10,265.99, 14,166.16 and 6,016.55

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Solution

The fourth proportional to 10,265.99, 14,166.16 and 6,016.55 is: 8,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.99 : 14,166.16 = 6,016.55 : x
  2. Step 2: Convert to fraction form
    10,265.99/14,166.16 = 6,016.55/x
  3. Step 3: Cross multiply
    10,265.99x = 14,166.16 × 6,016.55
  4. Step 4: Simplify right side
    10,265.99x = 85,231,324.08
  5. Step 5: Solve for x
    x = 85,231,324.08/10,265.99
  6. Step 6: Final answer
    x = 8,302.30

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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.