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Finding the Fourth Proportional to 7,456.70, 11,193.15 and 4,176.20

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Solution

The fourth proportional to 7,456.70, 11,193.15 and 4,176.20 is: 6,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.70 : 11,193.15 = 4,176.20 : x
  2. Step 2: Convert to fraction form
    7,456.70/11,193.15 = 4,176.20/x
  3. Step 3: Cross multiply
    7,456.70x = 11,193.15 × 4,176.20
  4. Step 4: Simplify right side
    7,456.70x = 46,744,833.03
  5. Step 5: Solve for x
    x = 46,744,833.03/7,456.70
  6. Step 6: Final answer
    x = 6,268.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.