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Finding the Fourth Proportional to 7,723, 10,657.74 and 4,186.20

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Solution

The fourth proportional to 7,723, 10,657.74 and 4,186.20 is: 5,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723 : 10,657.74 = 4,186.20 : x
  2. Step 2: Convert to fraction form
    7,723/10,657.74 = 4,186.20/x
  3. Step 3: Cross multiply
    7,723x = 10,657.74 × 4,186.20
  4. Step 4: Simplify right side
    7,723x = 44,615,431.19
  5. Step 5: Solve for x
    x = 44,615,431.19/7,723
  6. Step 6: Final answer
    x = 5,776.96

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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.