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Finding the Fourth Proportional to 7,393.10, 11,089.34 and 3,443

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Solution

The fourth proportional to 7,393.10, 11,089.34 and 3,443 is: 5,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.10 : 11,089.34 = 3,443 : x
  2. Step 2: Convert to fraction form
    7,393.10/11,089.34 = 3,443/x
  3. Step 3: Cross multiply
    7,393.10x = 11,089.34 × 3,443
  4. Step 4: Simplify right side
    7,393.10x = 38,180,597.62
  5. Step 5: Solve for x
    x = 38,180,597.62/7,393.10
  6. Step 6: Final answer
    x = 5,164.36

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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.