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Finding the Fourth Proportional to 8,654.84, 11,942.70 and 5,298.44

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Solution

The fourth proportional to 8,654.84, 11,942.70 and 5,298.44 is: 7,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.84 : 11,942.70 = 5,298.44 : x
  2. Step 2: Convert to fraction form
    8,654.84/11,942.70 = 5,298.44/x
  3. Step 3: Cross multiply
    8,654.84x = 11,942.70 × 5,298.44
  4. Step 4: Simplify right side
    8,654.84x = 63,277,679.39
  5. Step 5: Solve for x
    x = 63,277,679.39/8,654.84
  6. Step 6: Final answer
    x = 7,311.25

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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.