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Finding the Fourth Proportional to 7,071.61, 9,757.74 and 4,086.87

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Solution

The fourth proportional to 7,071.61, 9,757.74 and 4,086.87 is: 5,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.61 : 9,757.74 = 4,086.87 : x
  2. Step 2: Convert to fraction form
    7,071.61/9,757.74 = 4,086.87/x
  3. Step 3: Cross multiply
    7,071.61x = 9,757.74 × 4,086.87
  4. Step 4: Simplify right side
    7,071.61x = 39,878,559.13
  5. Step 5: Solve for x
    x = 39,878,559.13/7,071.61
  6. Step 6: Final answer
    x = 5,639.25

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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.