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Finding the Fourth Proportional to 7,226.16, 9,971.58 and 4,081.74

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Solution

The fourth proportional to 7,226.16, 9,971.58 and 4,081.74 is: 5,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.16 : 9,971.58 = 4,081.74 : x
  2. Step 2: Convert to fraction form
    7,226.16/9,971.58 = 4,081.74/x
  3. Step 3: Cross multiply
    7,226.16x = 9,971.58 × 4,081.74
  4. Step 4: Simplify right side
    7,226.16x = 40,701,396.95
  5. Step 5: Solve for x
    x = 40,701,396.95/7,226.16
  6. Step 6: Final answer
    x = 5,632.51

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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.