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Finding the Fourth Proportional to 7,778.46, 10,730.38 and 4,941.21

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Solution

The fourth proportional to 7,778.46, 10,730.38 and 4,941.21 is: 6,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.46 : 10,730.38 = 4,941.21 : x
  2. Step 2: Convert to fraction form
    7,778.46/10,730.38 = 4,941.21/x
  3. Step 3: Cross multiply
    7,778.46x = 10,730.38 × 4,941.21
  4. Step 4: Simplify right side
    7,778.46x = 53,021,060.96
  5. Step 5: Solve for x
    x = 53,021,060.96/7,778.46
  6. Step 6: Final answer
    x = 6,816.40

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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.