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Finding the Fourth Proportional to 27,964.36, 41,945.52 and 6,904.24

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Solution

The fourth proportional to 27,964.36, 41,945.52 and 6,904.24 is: 10,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964.36 : 41,945.52 = 6,904.24 : x
  2. Step 2: Convert to fraction form
    27,964.36/41,945.52 = 6,904.24/x
  3. Step 3: Cross multiply
    27,964.36x = 41,945.52 × 6,904.24
  4. Step 4: Simplify right side
    27,964.36x = 289,601,838.61
  5. Step 5: Solve for x
    x = 289,601,838.61/27,964.36
  6. Step 6: Final answer
    x = 10,356.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.