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Finding the Fourth Proportional to 8,546.30, 11,788.80 and 6,313.94

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Solution

The fourth proportional to 8,546.30, 11,788.80 and 6,313.94 is: 8,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.30 : 11,788.80 = 6,313.94 : x
  2. Step 2: Convert to fraction form
    8,546.30/11,788.80 = 6,313.94/x
  3. Step 3: Cross multiply
    8,546.30x = 11,788.80 × 6,313.94
  4. Step 4: Simplify right side
    8,546.30x = 74,433,775.87
  5. Step 5: Solve for x
    x = 74,433,775.87/8,546.30
  6. Step 6: Final answer
    x = 8,709.47

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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.