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Finding the Fourth Proportional to 11,699.64, 16,146.90 and 7,222.68

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Solution

The fourth proportional to 11,699.64, 16,146.90 and 7,222.68 is: 9,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.64 : 16,146.90 = 7,222.68 : x
  2. Step 2: Convert to fraction form
    11,699.64/16,146.90 = 7,222.68/x
  3. Step 3: Cross multiply
    11,699.64x = 16,146.90 × 7,222.68
  4. Step 4: Simplify right side
    11,699.64x = 116,623,891.69
  5. Step 5: Solve for x
    x = 116,623,891.69/11,699.64
  6. Step 6: Final answer
    x = 9,968.16

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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.