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Finding the Fourth Proportional to 7,309.48, 10,019.42 and 7,211.02

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Solution

The fourth proportional to 7,309.48, 10,019.42 and 7,211.02 is: 9,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.48 : 10,019.42 = 7,211.02 : x
  2. Step 2: Convert to fraction form
    7,309.48/10,019.42 = 7,211.02/x
  3. Step 3: Cross multiply
    7,309.48x = 10,019.42 × 7,211.02
  4. Step 4: Simplify right side
    7,309.48x = 72,250,238.01
  5. Step 5: Solve for x
    x = 72,250,238.01/7,309.48
  6. Step 6: Final answer
    x = 9,884.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.