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Finding the Fourth Proportional to 7,071.53, 9,750.66 and 4,515.85

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Solution

The fourth proportional to 7,071.53, 9,750.66 and 4,515.85 is: 6,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.53 : 9,750.66 = 4,515.85 : x
  2. Step 2: Convert to fraction form
    7,071.53/9,750.66 = 4,515.85/x
  3. Step 3: Cross multiply
    7,071.53x = 9,750.66 × 4,515.85
  4. Step 4: Simplify right side
    7,071.53x = 44,032,469.21
  5. Step 5: Solve for x
    x = 44,032,469.21/7,071.53
  6. Step 6: Final answer
    x = 6,226.72

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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.