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Finding the Fourth Proportional to 6,920.84, 10,353.47 and 5,348.94

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Solution

The fourth proportional to 6,920.84, 10,353.47 and 5,348.94 is: 8,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.84 : 10,353.47 = 5,348.94 : x
  2. Step 2: Convert to fraction form
    6,920.84/10,353.47 = 5,348.94/x
  3. Step 3: Cross multiply
    6,920.84x = 10,353.47 × 5,348.94
  4. Step 4: Simplify right side
    6,920.84x = 55,380,054.34
  5. Step 5: Solve for x
    x = 55,380,054.34/6,920.84
  6. Step 6: Final answer
    x = 8,001.92

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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.