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Finding the Fourth Proportional to 11,349.74, 15,662.64 and 6,313.84

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Solution

The fourth proportional to 11,349.74, 15,662.64 and 6,313.84 is: 8,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.74 : 15,662.64 = 6,313.84 : x
  2. Step 2: Convert to fraction form
    11,349.74/15,662.64 = 6,313.84/x
  3. Step 3: Cross multiply
    11,349.74x = 15,662.64 × 6,313.84
  4. Step 4: Simplify right side
    11,349.74x = 98,891,402.94
  5. Step 5: Solve for x
    x = 98,891,402.94/11,349.74
  6. Step 6: Final answer
    x = 8,713.10

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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.