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Finding the Fourth Proportional to 11,828.49, 16,323.12 and 6,523.67

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Solution

The fourth proportional to 11,828.49, 16,323.12 and 6,523.67 is: 9,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.49 : 16,323.12 = 6,523.67 : x
  2. Step 2: Convert to fraction form
    11,828.49/16,323.12 = 6,523.67/x
  3. Step 3: Cross multiply
    11,828.49x = 16,323.12 × 6,523.67
  4. Step 4: Simplify right side
    11,828.49x = 106,486,566.63
  5. Step 5: Solve for x
    x = 106,486,566.63/11,828.49
  6. Step 6: Final answer
    x = 9,002.55

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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.