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Finding the Fourth Proportional to 7,771.70, 10,720.96 and 5,084.47

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Solution

The fourth proportional to 7,771.70, 10,720.96 and 5,084.47 is: 7,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.70 : 10,720.96 = 5,084.47 : x
  2. Step 2: Convert to fraction form
    7,771.70/10,720.96 = 5,084.47/x
  3. Step 3: Cross multiply
    7,771.70x = 10,720.96 × 5,084.47
  4. Step 4: Simplify right side
    7,771.70x = 54,510,400.18
  5. Step 5: Solve for x
    x = 54,510,400.18/7,771.70
  6. Step 6: Final answer
    x = 7,013.96

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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.