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Finding the Fourth Proportional to 7,741.68, 10,683.54 and 4,204.95

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Solution

The fourth proportional to 7,741.68, 10,683.54 and 4,204.95 is: 5,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.68 : 10,683.54 = 4,204.95 : x
  2. Step 2: Convert to fraction form
    7,741.68/10,683.54 = 4,204.95/x
  3. Step 3: Cross multiply
    7,741.68x = 10,683.54 × 4,204.95
  4. Step 4: Simplify right side
    7,741.68x = 44,923,751.52
  5. Step 5: Solve for x
    x = 44,923,751.52/7,741.68
  6. Step 6: Final answer
    x = 5,802.84

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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.