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Finding the Fourth Proportional to 7,071.42, 9,758.11 and 4,086.77

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Solution

The fourth proportional to 7,071.42, 9,758.11 and 4,086.77 is: 5,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.42 : 9,758.11 = 4,086.77 : x
  2. Step 2: Convert to fraction form
    7,071.42/9,758.11 = 4,086.77/x
  3. Step 3: Cross multiply
    7,071.42x = 9,758.11 × 4,086.77
  4. Step 4: Simplify right side
    7,071.42x = 39,879,151.20
  5. Step 5: Solve for x
    x = 39,879,151.20/7,071.42
  6. Step 6: Final answer
    x = 5,639.48

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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.