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Finding the Fourth Proportional to 7,218.63, 10,823.49 and 2,834.10

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Solution

The fourth proportional to 7,218.63, 10,823.49 and 2,834.10 is: 4,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.63 : 10,823.49 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    7,218.63/10,823.49 = 2,834.10/x
  3. Step 3: Cross multiply
    7,218.63x = 10,823.49 × 2,834.10
  4. Step 4: Simplify right side
    7,218.63x = 30,674,853.01
  5. Step 5: Solve for x
    x = 30,674,853.01/7,218.63
  6. Step 6: Final answer
    x = 4,249.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.