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Finding the Fourth Proportional to 7,741.79, 10,683.73 and 4,205.03

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Solution

The fourth proportional to 7,741.79, 10,683.73 and 4,205.03 is: 5,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.79 : 10,683.73 = 4,205.03 : x
  2. Step 2: Convert to fraction form
    7,741.79/10,683.73 = 4,205.03/x
  3. Step 3: Cross multiply
    7,741.79x = 10,683.73 × 4,205.03
  4. Step 4: Simplify right side
    7,741.79x = 44,925,357.00
  5. Step 5: Solve for x
    x = 44,925,357.00/7,741.79
  6. Step 6: Final answer
    x = 5,802.97

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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.