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Finding the Fourth Proportional to 7,723.01, 10,657.74 and 4,186.22

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Solution

The fourth proportional to 7,723.01, 10,657.74 and 4,186.22 is: 5,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.01 : 10,657.74 = 4,186.22 : x
  2. Step 2: Convert to fraction form
    7,723.01/10,657.74 = 4,186.22/x
  3. Step 3: Cross multiply
    7,723.01x = 10,657.74 × 4,186.22
  4. Step 4: Simplify right side
    7,723.01x = 44,615,638.87
  5. Step 5: Solve for x
    x = 44,615,638.87/7,723.01
  6. Step 6: Final answer
    x = 5,776.98

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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.