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Finding the Fourth Proportional to 7,003.24, 9,665.40 and 4,019.20

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Solution

The fourth proportional to 7,003.24, 9,665.40 and 4,019.20 is: 5,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.24 : 9,665.40 = 4,019.20 : x
  2. Step 2: Convert to fraction form
    7,003.24/9,665.40 = 4,019.20/x
  3. Step 3: Cross multiply
    7,003.24x = 9,665.40 × 4,019.20
  4. Step 4: Simplify right side
    7,003.24x = 38,847,175.68
  5. Step 5: Solve for x
    x = 38,847,175.68/7,003.24
  6. Step 6: Final answer
    x = 5,547.03

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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.