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Finding the Fourth Proportional to 7,003.38, 9,664.46 and 4,019.03

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Solution

The fourth proportional to 7,003.38, 9,664.46 and 4,019.03 is: 5,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.38 : 9,664.46 = 4,019.03 : x
  2. Step 2: Convert to fraction form
    7,003.38/9,664.46 = 4,019.03/x
  3. Step 3: Cross multiply
    7,003.38x = 9,664.46 × 4,019.03
  4. Step 4: Simplify right side
    7,003.38x = 38,841,686.26
  5. Step 5: Solve for x
    x = 38,841,686.26/7,003.38
  6. Step 6: Final answer
    x = 5,546.13

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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.