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Finding the Fourth Proportional to 7,718.16, 10,651.06 and 4,181.38

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Solution

The fourth proportional to 7,718.16, 10,651.06 and 4,181.38 is: 5,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.16 : 10,651.06 = 4,181.38 : x
  2. Step 2: Convert to fraction form
    7,718.16/10,651.06 = 4,181.38/x
  3. Step 3: Cross multiply
    7,718.16x = 10,651.06 × 4,181.38
  4. Step 4: Simplify right side
    7,718.16x = 44,536,129.26
  5. Step 5: Solve for x
    x = 44,536,129.26/7,718.16
  6. Step 6: Final answer
    x = 5,770.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.