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Finding the Fourth Proportional to 7,741.40, 10,682.16 and 6,409.76

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Solution

The fourth proportional to 7,741.40, 10,682.16 and 6,409.76 is: 8,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.40 : 10,682.16 = 6,409.76 : x
  2. Step 2: Convert to fraction form
    7,741.40/10,682.16 = 6,409.76/x
  3. Step 3: Cross multiply
    7,741.40x = 10,682.16 × 6,409.76
  4. Step 4: Simplify right side
    7,741.40x = 68,470,081.88
  5. Step 5: Solve for x
    x = 68,470,081.88/7,741.40
  6. Step 6: Final answer
    x = 8,844.66

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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.