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Finding the Fourth Proportional to 11,597.94, 16,008.12 and 7,351.53

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Solution

The fourth proportional to 11,597.94, 16,008.12 and 7,351.53 is: 10,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.94 : 16,008.12 = 7,351.53 : x
  2. Step 2: Convert to fraction form
    11,597.94/16,008.12 = 7,351.53/x
  3. Step 3: Cross multiply
    11,597.94x = 16,008.12 × 7,351.53
  4. Step 4: Simplify right side
    11,597.94x = 117,684,174.42
  5. Step 5: Solve for x
    x = 117,684,174.42/11,597.94
  6. Step 6: Final answer
    x = 10,146.99

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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.