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Finding the Fourth Proportional to 11,071.72, 16,537.73 and 9,322.12

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Solution

The fourth proportional to 11,071.72, 16,537.73 and 9,322.12 is: 13,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.72 : 16,537.73 = 9,322.12 : x
  2. Step 2: Convert to fraction form
    11,071.72/16,537.73 = 9,322.12/x
  3. Step 3: Cross multiply
    11,071.72x = 16,537.73 × 9,322.12
  4. Step 4: Simplify right side
    11,071.72x = 154,166,703.59
  5. Step 5: Solve for x
    x = 154,166,703.59/11,071.72
  6. Step 6: Final answer
    x = 13,924.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.