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Finding the Fourth Proportional to 11,601, 16,010.01 and 7,129.53

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Solution

The fourth proportional to 11,601, 16,010.01 and 7,129.53 is: 9,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601 : 16,010.01 = 7,129.53 : x
  2. Step 2: Convert to fraction form
    11,601/16,010.01 = 7,129.53/x
  3. Step 3: Cross multiply
    11,601x = 16,010.01 × 7,129.53
  4. Step 4: Simplify right side
    11,601x = 114,143,846.60
  5. Step 5: Solve for x
    x = 114,143,846.60/11,601
  6. Step 6: Final answer
    x = 9,839.14

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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.