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Finding the Fourth Proportional to 8,132.94, 11,223.54 and 4,596.12

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Solution

The fourth proportional to 8,132.94, 11,223.54 and 4,596.12 is: 6,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.94 : 11,223.54 = 4,596.12 : x
  2. Step 2: Convert to fraction form
    8,132.94/11,223.54 = 4,596.12/x
  3. Step 3: Cross multiply
    8,132.94x = 11,223.54 × 4,596.12
  4. Step 4: Simplify right side
    8,132.94x = 51,584,736.66
  5. Step 5: Solve for x
    x = 51,584,736.66/8,132.94
  6. Step 6: Final answer
    x = 6,342.69

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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.