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Finding the Fourth Proportional to 27,188.87, 40,775.47 and 7,468.07

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Solution

The fourth proportional to 27,188.87, 40,775.47 and 7,468.07 is: 11,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.87 : 40,775.47 = 7,468.07 : x
  2. Step 2: Convert to fraction form
    27,188.87/40,775.47 = 7,468.07/x
  3. Step 3: Cross multiply
    27,188.87x = 40,775.47 × 7,468.07
  4. Step 4: Simplify right side
    27,188.87x = 304,514,064.24
  5. Step 5: Solve for x
    x = 304,514,064.24/27,188.87
  6. Step 6: Final answer
    x = 11,199.95

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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.