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Finding the Fourth Proportional to 8,194.64, 11,312.46 and 5,546.34

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Solution

The fourth proportional to 8,194.64, 11,312.46 and 5,546.34 is: 7,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.64 : 11,312.46 = 5,546.34 : x
  2. Step 2: Convert to fraction form
    8,194.64/11,312.46 = 5,546.34/x
  3. Step 3: Cross multiply
    8,194.64x = 11,312.46 × 5,546.34
  4. Step 4: Simplify right side
    8,194.64x = 62,742,749.40
  5. Step 5: Solve for x
    x = 62,742,749.40/8,194.64
  6. Step 6: Final answer
    x = 7,656.56

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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.