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Finding the Fourth Proportional to 7,263.21, 10,023.32 and 4,077.20

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Solution

The fourth proportional to 7,263.21, 10,023.32 and 4,077.20 is: 5,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.21 : 10,023.32 = 4,077.20 : x
  2. Step 2: Convert to fraction form
    7,263.21/10,023.32 = 4,077.20/x
  3. Step 3: Cross multiply
    7,263.21x = 10,023.32 × 4,077.20
  4. Step 4: Simplify right side
    7,263.21x = 40,867,040.38
  5. Step 5: Solve for x
    x = 40,867,040.38/7,263.21
  6. Step 6: Final answer
    x = 5,626.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.