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Finding the Fourth Proportional to 8,138.16, 11,230.68 and 4,601.04

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Solution

The fourth proportional to 8,138.16, 11,230.68 and 4,601.04 is: 6,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.16 : 11,230.68 = 4,601.04 : x
  2. Step 2: Convert to fraction form
    8,138.16/11,230.68 = 4,601.04/x
  3. Step 3: Cross multiply
    8,138.16x = 11,230.68 × 4,601.04
  4. Step 4: Simplify right side
    8,138.16x = 51,672,807.91
  5. Step 5: Solve for x
    x = 51,672,807.91/8,138.16
  6. Step 6: Final answer
    x = 6,349.45

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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.