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Finding the Fourth Proportional to 7,524.84, 11,289.84 and 2,846.19

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Solution

The fourth proportional to 7,524.84, 11,289.84 and 2,846.19 is: 4,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.84 : 11,289.84 = 2,846.19 : x
  2. Step 2: Convert to fraction form
    7,524.84/11,289.84 = 2,846.19/x
  3. Step 3: Cross multiply
    7,524.84x = 11,289.84 × 2,846.19
  4. Step 4: Simplify right side
    7,524.84x = 32,133,029.71
  5. Step 5: Solve for x
    x = 32,133,029.71/7,524.84
  6. Step 6: Final answer
    x = 4,270.26

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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.