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Finding the Fourth Proportional to 11,699.64, 16,145.53 and 7,222.37

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Solution

The fourth proportional to 11,699.64, 16,145.53 and 7,222.37 is: 9,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.64 : 16,145.53 = 7,222.37 : x
  2. Step 2: Convert to fraction form
    11,699.64/16,145.53 = 7,222.37/x
  3. Step 3: Cross multiply
    11,699.64x = 16,145.53 × 7,222.37
  4. Step 4: Simplify right side
    11,699.64x = 116,608,892.72
  5. Step 5: Solve for x
    x = 116,608,892.72/11,699.64
  6. Step 6: Final answer
    x = 9,966.88

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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.