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Finding the Fourth Proportional to 7,904.99, 11,857.49 and 3,467.00

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Solution

The fourth proportional to 7,904.99, 11,857.49 and 3,467.00 is: 5,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.99 : 11,857.49 = 3,467.00 : x
  2. Step 2: Convert to fraction form
    7,904.99/11,857.49 = 3,467.00/x
  3. Step 3: Cross multiply
    7,904.99x = 11,857.49 × 3,467.00
  4. Step 4: Simplify right side
    7,904.99x = 41,109,943.14
  5. Step 5: Solve for x
    x = 41,109,943.14/7,904.99
  6. Step 6: Final answer
    x = 5,200.50

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Why These Related Problems?

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