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Finding the Fourth Proportional to 7,722, 10,657.08 and 4,410

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Solution

The fourth proportional to 7,722, 10,657.08 and 4,410 is: 6,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 10,657.08 = 4,410 : x
  2. Step 2: Convert to fraction form
    7,722/10,657.08 = 4,410/x
  3. Step 3: Cross multiply
    7,722x = 10,657.08 × 4,410
  4. Step 4: Simplify right side
    7,722x = 46,997,722.80
  5. Step 5: Solve for x
    x = 46,997,722.80/7,722
  6. Step 6: Final answer
    x = 6,086.21

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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.