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Finding the Fourth Proportional to 7,821.63, 11,703 and 5,486.19

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Solution

The fourth proportional to 7,821.63, 11,703 and 5,486.19 is: 8,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.63 : 11,703 = 5,486.19 : x
  2. Step 2: Convert to fraction form
    7,821.63/11,703 = 5,486.19/x
  3. Step 3: Cross multiply
    7,821.63x = 11,703 × 5,486.19
  4. Step 4: Simplify right side
    7,821.63x = 64,204,881.57
  5. Step 5: Solve for x
    x = 64,204,881.57/7,821.63
  6. Step 6: Final answer
    x = 8,208.63

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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.