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Finding the Fourth Proportional to 11,604.24, 16,015.14 and 7,356.60

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Solution

The fourth proportional to 11,604.24, 16,015.14 and 7,356.60 is: 10,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.24 : 16,015.14 = 7,356.60 : x
  2. Step 2: Convert to fraction form
    11,604.24/16,015.14 = 7,356.60/x
  3. Step 3: Cross multiply
    11,604.24x = 16,015.14 × 7,356.60
  4. Step 4: Simplify right side
    11,604.24x = 117,816,978.92
  5. Step 5: Solve for x
    x = 117,816,978.92/11,604.24
  6. Step 6: Final answer
    x = 10,152.93

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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.