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Finding the Fourth Proportional to 7,263.36, 10,024 and 4,119.68

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Solution

The fourth proportional to 7,263.36, 10,024 and 4,119.68 is: 5,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.36 : 10,024 = 4,119.68 : x
  2. Step 2: Convert to fraction form
    7,263.36/10,024 = 4,119.68/x
  3. Step 3: Cross multiply
    7,263.36x = 10,024 × 4,119.68
  4. Step 4: Simplify right side
    7,263.36x = 41,295,672.32
  5. Step 5: Solve for x
    x = 41,295,672.32/7,263.36
  6. Step 6: Final answer
    x = 5,685.48

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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.