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Finding the Fourth Proportional to 6,741.96, 10,106.01 and 2,580.84

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Solution

The fourth proportional to 6,741.96, 10,106.01 and 2,580.84 is: 3,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.96 : 10,106.01 = 2,580.84 : x
  2. Step 2: Convert to fraction form
    6,741.96/10,106.01 = 2,580.84/x
  3. Step 3: Cross multiply
    6,741.96x = 10,106.01 × 2,580.84
  4. Step 4: Simplify right side
    6,741.96x = 26,081,994.85
  5. Step 5: Solve for x
    x = 26,081,994.85/6,741.96
  6. Step 6: Final answer
    x = 3,868.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.