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Finding the Fourth Proportional to 7,003.60, 9,665.94 and 4,020.37

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Solution

The fourth proportional to 7,003.60, 9,665.94 and 4,020.37 is: 5,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.60 : 9,665.94 = 4,020.37 : x
  2. Step 2: Convert to fraction form
    7,003.60/9,665.94 = 4,020.37/x
  3. Step 3: Cross multiply
    7,003.60x = 9,665.94 × 4,020.37
  4. Step 4: Simplify right side
    7,003.60x = 38,860,655.20
  5. Step 5: Solve for x
    x = 38,860,655.20/7,003.60
  6. Step 6: Final answer
    x = 5,548.67

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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.