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Finding the Fourth Proportional to 7,071.08, 9,758.40 and 3,927.56

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Solution

The fourth proportional to 7,071.08, 9,758.40 and 3,927.56 is: 5,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.08 : 9,758.40 = 3,927.56 : x
  2. Step 2: Convert to fraction form
    7,071.08/9,758.40 = 3,927.56/x
  3. Step 3: Cross multiply
    7,071.08x = 9,758.40 × 3,927.56
  4. Step 4: Simplify right side
    7,071.08x = 38,326,701.50
  5. Step 5: Solve for x
    x = 38,326,701.50/7,071.08
  6. Step 6: Final answer
    x = 5,420.20

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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.