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Finding the Fourth Proportional to 11,399.70, 17,097.84 and 3,607.50

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Solution

The fourth proportional to 11,399.70, 17,097.84 and 3,607.50 is: 5,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.70 : 17,097.84 = 3,607.50 : x
  2. Step 2: Convert to fraction form
    11,399.70/17,097.84 = 3,607.50/x
  3. Step 3: Cross multiply
    11,399.70x = 17,097.84 × 3,607.50
  4. Step 4: Simplify right side
    11,399.70x = 61,680,457.80
  5. Step 5: Solve for x
    x = 61,680,457.80/11,399.70
  6. Step 6: Final answer
    x = 5,410.71

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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.