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Finding the Fourth Proportional to 7,807.85, 10,771.56 and 5,119.71

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Solution

The fourth proportional to 7,807.85, 10,771.56 and 5,119.71 is: 7,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.85 : 10,771.56 = 5,119.71 : x
  2. Step 2: Convert to fraction form
    7,807.85/10,771.56 = 5,119.71/x
  3. Step 3: Cross multiply
    7,807.85x = 10,771.56 × 5,119.71
  4. Step 4: Simplify right side
    7,807.85x = 55,147,263.45
  5. Step 5: Solve for x
    x = 55,147,263.45/7,807.85
  6. Step 6: Final answer
    x = 7,063.06

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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.