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Finding the Fourth Proportional to 7,071.27, 9,765.45 and 5,824.68

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Solution

The fourth proportional to 7,071.27, 9,765.45 and 5,824.68 is: 8,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.27 : 9,765.45 = 5,824.68 : x
  2. Step 2: Convert to fraction form
    7,071.27/9,765.45 = 5,824.68/x
  3. Step 3: Cross multiply
    7,071.27x = 9,765.45 × 5,824.68
  4. Step 4: Simplify right side
    7,071.27x = 56,880,621.31
  5. Step 5: Solve for x
    x = 56,880,621.31/7,071.27
  6. Step 6: Final answer
    x = 8,043.90

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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.