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Finding the Fourth Proportional to 7,260.96, 10,018.56 and 4,194.24

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Solution

The fourth proportional to 7,260.96, 10,018.56 and 4,194.24 is: 5,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.96 : 10,018.56 = 4,194.24 : x
  2. Step 2: Convert to fraction form
    7,260.96/10,018.56 = 4,194.24/x
  3. Step 3: Cross multiply
    7,260.96x = 10,018.56 × 4,194.24
  4. Step 4: Simplify right side
    7,260.96x = 42,020,245.09
  5. Step 5: Solve for x
    x = 42,020,245.09/7,260.96
  6. Step 6: Final answer
    x = 5,787.15

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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.