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Finding the Fourth Proportional to 7,284.35, 10,924.90 and 2,842.13

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Solution

The fourth proportional to 7,284.35, 10,924.90 and 2,842.13 is: 4,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.35 : 10,924.90 = 2,842.13 : x
  2. Step 2: Convert to fraction form
    7,284.35/10,924.90 = 2,842.13/x
  3. Step 3: Cross multiply
    7,284.35x = 10,924.90 × 2,842.13
  4. Step 4: Simplify right side
    7,284.35x = 31,050,016.90
  5. Step 5: Solve for x
    x = 31,050,016.90/7,284.35
  6. Step 6: Final answer
    x = 4,262.56

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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.