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Finding the Fourth Proportional to 7,718.64, 10,651.71 and 4,181.94

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Solution

The fourth proportional to 7,718.64, 10,651.71 and 4,181.94 is: 5,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.64 : 10,651.71 = 4,181.94 : x
  2. Step 2: Convert to fraction form
    7,718.64/10,651.71 = 4,181.94/x
  3. Step 3: Cross multiply
    7,718.64x = 10,651.71 × 4,181.94
  4. Step 4: Simplify right side
    7,718.64x = 44,544,812.12
  5. Step 5: Solve for x
    x = 44,544,812.12/7,718.64
  6. Step 6: Final answer
    x = 5,771.07

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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.