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Finding the Fourth Proportional to 7,190.40, 10,781.68 and 2,509.15

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Solution

The fourth proportional to 7,190.40, 10,781.68 and 2,509.15 is: 3,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.40 : 10,781.68 = 2,509.15 : x
  2. Step 2: Convert to fraction form
    7,190.40/10,781.68 = 2,509.15/x
  3. Step 3: Cross multiply
    7,190.40x = 10,781.68 × 2,509.15
  4. Step 4: Simplify right side
    7,190.40x = 27,052,852.37
  5. Step 5: Solve for x
    x = 27,052,852.37/7,190.40
  6. Step 6: Final answer
    x = 3,762.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.