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Finding the Fourth Proportional to 11,828.61, 16,323.65 and 6,523.42

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Solution

The fourth proportional to 11,828.61, 16,323.65 and 6,523.42 is: 9,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.61 : 16,323.65 = 6,523.42 : x
  2. Step 2: Convert to fraction form
    11,828.61/16,323.65 = 6,523.42/x
  3. Step 3: Cross multiply
    11,828.61x = 16,323.65 × 6,523.42
  4. Step 4: Simplify right side
    11,828.61x = 106,486,024.88
  5. Step 5: Solve for x
    x = 106,486,024.88/11,828.61
  6. Step 6: Final answer
    x = 9,002.41

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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.