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Finding the Fourth Proportional to 8,165.96, 11,269.16 and 4,629.10

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Solution

The fourth proportional to 8,165.96, 11,269.16 and 4,629.10 is: 6,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.96 : 11,269.16 = 4,629.10 : x
  2. Step 2: Convert to fraction form
    8,165.96/11,269.16 = 4,629.10/x
  3. Step 3: Cross multiply
    8,165.96x = 11,269.16 × 4,629.10
  4. Step 4: Simplify right side
    8,165.96x = 52,166,068.56
  5. Step 5: Solve for x
    x = 52,166,068.56/8,165.96
  6. Step 6: Final answer
    x = 6,388.23

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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.