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Finding the Fourth Proportional to 6,116.54, 8,430.96 and 4,123.63

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Solution

The fourth proportional to 6,116.54, 8,430.96 and 4,123.63 is: 5,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.54 : 8,430.96 = 4,123.63 : x
  2. Step 2: Convert to fraction form
    6,116.54/8,430.96 = 4,123.63/x
  3. Step 3: Cross multiply
    6,116.54x = 8,430.96 × 4,123.63
  4. Step 4: Simplify right side
    6,116.54x = 34,766,197.70
  5. Step 5: Solve for x
    x = 34,766,197.70/6,116.54
  6. Step 6: Final answer
    x = 5,683.97

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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.