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Finding the Fourth Proportional to 7,427.50, 11,138.21 and 4,650.01

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Solution

The fourth proportional to 7,427.50, 11,138.21 and 4,650.01 is: 6,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.50 : 11,138.21 = 4,650.01 : x
  2. Step 2: Convert to fraction form
    7,427.50/11,138.21 = 4,650.01/x
  3. Step 3: Cross multiply
    7,427.50x = 11,138.21 × 4,650.01
  4. Step 4: Simplify right side
    7,427.50x = 51,792,754.22
  5. Step 5: Solve for x
    x = 51,792,754.22/7,427.50
  6. Step 6: Final answer
    x = 6,973.11

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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.