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Finding the Fourth Proportional to 8,143.53, 11,238.75 and 4,607.42

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Solution

The fourth proportional to 8,143.53, 11,238.75 and 4,607.42 is: 6,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.53 : 11,238.75 = 4,607.42 : x
  2. Step 2: Convert to fraction form
    8,143.53/11,238.75 = 4,607.42/x
  3. Step 3: Cross multiply
    8,143.53x = 11,238.75 × 4,607.42
  4. Step 4: Simplify right side
    8,143.53x = 51,781,585.33
  5. Step 5: Solve for x
    x = 51,781,585.33/8,143.53
  6. Step 6: Final answer
    x = 6,358.62

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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.