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Finding the Fourth Proportional to 7,399.50, 11,090.16 and 3,495.84

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Solution

The fourth proportional to 7,399.50, 11,090.16 and 3,495.84 is: 5,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.50 : 11,090.16 = 3,495.84 : x
  2. Step 2: Convert to fraction form
    7,399.50/11,090.16 = 3,495.84/x
  3. Step 3: Cross multiply
    7,399.50x = 11,090.16 × 3,495.84
  4. Step 4: Simplify right side
    7,399.50x = 38,769,424.93
  5. Step 5: Solve for x
    x = 38,769,424.93/7,399.50
  6. Step 6: Final answer
    x = 5,239.47

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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.