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Finding the Fourth Proportional to 11,828.64, 16,323.84 and 6,523.44

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Solution

The fourth proportional to 11,828.64, 16,323.84 and 6,523.44 is: 9,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.64 : 16,323.84 = 6,523.44 : x
  2. Step 2: Convert to fraction form
    11,828.64/16,323.84 = 6,523.44/x
  3. Step 3: Cross multiply
    11,828.64x = 16,323.84 × 6,523.44
  4. Step 4: Simplify right side
    11,828.64x = 106,487,590.81
  5. Step 5: Solve for x
    x = 106,487,590.81/11,828.64
  6. Step 6: Final answer
    x = 9,002.52

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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.