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Finding the Fourth Proportional to 27,398.58, 41,097.11 and 7,410.01

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Solution

The fourth proportional to 27,398.58, 41,097.11 and 7,410.01 is: 11,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.58 : 41,097.11 = 7,410.01 : x
  2. Step 2: Convert to fraction form
    27,398.58/41,097.11 = 7,410.01/x
  3. Step 3: Cross multiply
    27,398.58x = 41,097.11 × 7,410.01
  4. Step 4: Simplify right side
    27,398.58x = 304,529,996.07
  5. Step 5: Solve for x
    x = 304,529,996.07/27,398.58
  6. Step 6: Final answer
    x = 11,114.81

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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.