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Finding the Fourth Proportional to 7,003.83, 9,665.15 and 4,021.49

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Solution

The fourth proportional to 7,003.83, 9,665.15 and 4,021.49 is: 5,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.83 : 9,665.15 = 4,021.49 : x
  2. Step 2: Convert to fraction form
    7,003.83/9,665.15 = 4,021.49/x
  3. Step 3: Cross multiply
    7,003.83x = 9,665.15 × 4,021.49
  4. Step 4: Simplify right side
    7,003.83x = 38,868,235.64
  5. Step 5: Solve for x
    x = 38,868,235.64/7,003.83
  6. Step 6: Final answer
    x = 5,549.57

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