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Finding the Fourth Proportional to 8,233.11, 12,341.43 and 5,313.47

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Solution

The fourth proportional to 8,233.11, 12,341.43 and 5,313.47 is: 7,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.11 : 12,341.43 = 5,313.47 : x
  2. Step 2: Convert to fraction form
    8,233.11/12,341.43 = 5,313.47/x
  3. Step 3: Cross multiply
    8,233.11x = 12,341.43 × 5,313.47
  4. Step 4: Simplify right side
    8,233.11x = 65,575,756.35
  5. Step 5: Solve for x
    x = 65,575,756.35/8,233.11
  6. Step 6: Final answer
    x = 7,964.88

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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.