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Finding the Fourth Proportional to 11,828.03, 16,322.31 and 6,522.53

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Solution

The fourth proportional to 11,828.03, 16,322.31 and 6,522.53 is: 9,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.03 : 16,322.31 = 6,522.53 : x
  2. Step 2: Convert to fraction form
    11,828.03/16,322.31 = 6,522.53/x
  3. Step 3: Cross multiply
    11,828.03x = 16,322.31 × 6,522.53
  4. Step 4: Simplify right side
    11,828.03x = 106,462,675.03
  5. Step 5: Solve for x
    x = 106,462,675.03/11,828.03
  6. Step 6: Final answer
    x = 9,000.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.