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Finding the Fourth Proportional to 27,097.02, 40,647.96 and 7,375.68

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Solution

The fourth proportional to 27,097.02, 40,647.96 and 7,375.68 is: 11,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.02 : 40,647.96 = 7,375.68 : x
  2. Step 2: Convert to fraction form
    27,097.02/40,647.96 = 7,375.68/x
  3. Step 3: Cross multiply
    27,097.02x = 40,647.96 × 7,375.68
  4. Step 4: Simplify right side
    27,097.02x = 299,806,345.61
  5. Step 5: Solve for x
    x = 299,806,345.61/27,097.02
  6. Step 6: Final answer
    x = 11,064.18

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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.