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Finding the Fourth Proportional to 7,662.15, 11,493.23 and 4,709.70

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Solution

The fourth proportional to 7,662.15, 11,493.23 and 4,709.70 is: 7,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.15 : 11,493.23 = 4,709.70 : x
  2. Step 2: Convert to fraction form
    7,662.15/11,493.23 = 4,709.70/x
  3. Step 3: Cross multiply
    7,662.15x = 11,493.23 × 4,709.70
  4. Step 4: Simplify right side
    7,662.15x = 54,129,641.78
  5. Step 5: Solve for x
    x = 54,129,641.78/7,662.15
  6. Step 6: Final answer
    x = 7,064.55

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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.