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Finding the Fourth Proportional to 11,300.05, 15,593.67 and 6,823.39

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Solution

The fourth proportional to 11,300.05, 15,593.67 and 6,823.39 is: 9,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.05 : 15,593.67 = 6,823.39 : x
  2. Step 2: Convert to fraction form
    11,300.05/15,593.67 = 6,823.39/x
  3. Step 3: Cross multiply
    11,300.05x = 15,593.67 × 6,823.39
  4. Step 4: Simplify right side
    11,300.05x = 106,401,691.94
  5. Step 5: Solve for x
    x = 106,401,691.94/11,300.05
  6. Step 6: Final answer
    x = 9,416.04

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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.