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Finding the Fourth Proportional to 11,575.95, 17,364.87 and 5,254.71

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Solution

The fourth proportional to 11,575.95, 17,364.87 and 5,254.71 is: 7,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.95 : 17,364.87 = 5,254.71 : x
  2. Step 2: Convert to fraction form
    11,575.95/17,364.87 = 5,254.71/x
  3. Step 3: Cross multiply
    11,575.95x = 17,364.87 × 5,254.71
  4. Step 4: Simplify right side
    11,575.95x = 91,247,356.04
  5. Step 5: Solve for x
    x = 91,247,356.04/11,575.95
  6. Step 6: Final answer
    x = 7,882.49

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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.