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Finding the Fourth Proportional to 7,263.96, 10,022.78 and 4,119.32

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Solution

The fourth proportional to 7,263.96, 10,022.78 and 4,119.32 is: 5,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.96 : 10,022.78 = 4,119.32 : x
  2. Step 2: Convert to fraction form
    7,263.96/10,022.78 = 4,119.32/x
  3. Step 3: Cross multiply
    7,263.96x = 10,022.78 × 4,119.32
  4. Step 4: Simplify right side
    7,263.96x = 41,287,038.11
  5. Step 5: Solve for x
    x = 41,287,038.11/7,263.96
  6. Step 6: Final answer
    x = 5,683.82

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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.