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Finding the Fourth Proportional to 11,828.61, 16,323.59 and 6,523.61

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Solution

The fourth proportional to 11,828.61, 16,323.59 and 6,523.61 is: 9,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.61 : 16,323.59 = 6,523.61 : x
  2. Step 2: Convert to fraction form
    11,828.61/16,323.59 = 6,523.61/x
  3. Step 3: Cross multiply
    11,828.61x = 16,323.59 × 6,523.61
  4. Step 4: Simplify right side
    11,828.61x = 106,488,734.96
  5. Step 5: Solve for x
    x = 106,488,734.96/11,828.61
  6. Step 6: Final answer
    x = 9,002.64

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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.