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Finding the Fourth Proportional to 7,722.51, 10,657.08 and 4,185.78

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Solution

The fourth proportional to 7,722.51, 10,657.08 and 4,185.78 is: 5,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.51 : 10,657.08 = 4,185.78 : x
  2. Step 2: Convert to fraction form
    7,722.51/10,657.08 = 4,185.78/x
  3. Step 3: Cross multiply
    7,722.51x = 10,657.08 × 4,185.78
  4. Step 4: Simplify right side
    7,722.51x = 44,608,192.32
  5. Step 5: Solve for x
    x = 44,608,192.32/7,722.51
  6. Step 6: Final answer
    x = 5,776.39

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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.