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Finding the Fourth Proportional to 7,741.31, 10,683.05 and 4,204.58

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Solution

The fourth proportional to 7,741.31, 10,683.05 and 4,204.58 is: 5,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.31 : 10,683.05 = 4,204.58 : x
  2. Step 2: Convert to fraction form
    7,741.31/10,683.05 = 4,204.58/x
  3. Step 3: Cross multiply
    7,741.31x = 10,683.05 × 4,204.58
  4. Step 4: Simplify right side
    7,741.31x = 44,917,663.93
  5. Step 5: Solve for x
    x = 44,917,663.93/7,741.31
  6. Step 6: Final answer
    x = 5,802.34

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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.