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Finding the Fourth Proportional to 7,262.84, 10,020.43 and 4,118.42

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Solution

The fourth proportional to 7,262.84, 10,020.43 and 4,118.42 is: 5,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.84 : 10,020.43 = 4,118.42 : x
  2. Step 2: Convert to fraction form
    7,262.84/10,020.43 = 4,118.42/x
  3. Step 3: Cross multiply
    7,262.84x = 10,020.43 × 4,118.42
  4. Step 4: Simplify right side
    7,262.84x = 41,268,339.32
  5. Step 5: Solve for x
    x = 41,268,339.32/7,262.84
  6. Step 6: Final answer
    x = 5,682.12

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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.