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Finding the Fourth Proportional to 11,491.35, 17,244.72 and 4,919.15

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Solution

The fourth proportional to 11,491.35, 17,244.72 and 4,919.15 is: 7,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.35 : 17,244.72 = 4,919.15 : x
  2. Step 2: Convert to fraction form
    11,491.35/17,244.72 = 4,919.15/x
  3. Step 3: Cross multiply
    11,491.35x = 17,244.72 × 4,919.15
  4. Step 4: Simplify right side
    11,491.35x = 84,829,278.16
  5. Step 5: Solve for x
    x = 84,829,278.16/11,491.35
  6. Step 6: Final answer
    x = 7,382.01

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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.