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Finding the Fourth Proportional to 7,930.85, 10,941.09 and 4,742.39

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Solution

The fourth proportional to 7,930.85, 10,941.09 and 4,742.39 is: 6,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.85 : 10,941.09 = 4,742.39 : x
  2. Step 2: Convert to fraction form
    7,930.85/10,941.09 = 4,742.39/x
  3. Step 3: Cross multiply
    7,930.85x = 10,941.09 × 4,742.39
  4. Step 4: Simplify right side
    7,930.85x = 51,886,915.81
  5. Step 5: Solve for x
    x = 51,886,915.81/7,930.85
  6. Step 6: Final answer
    x = 6,542.42

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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.