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Finding the Fourth Proportional to 7,388.66, 11,083 and 4,308.50

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Solution

The fourth proportional to 7,388.66, 11,083 and 4,308.50 is: 6,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.66 : 11,083 = 4,308.50 : x
  2. Step 2: Convert to fraction form
    7,388.66/11,083 = 4,308.50/x
  3. Step 3: Cross multiply
    7,388.66x = 11,083 × 4,308.50
  4. Step 4: Simplify right side
    7,388.66x = 47,751,105.50
  5. Step 5: Solve for x
    x = 47,751,105.50/7,388.66
  6. Step 6: Final answer
    x = 6,462.76

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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.