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Finding the Fourth Proportional to 7,657.41, 11,473.53 and 4,729.67

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Solution

The fourth proportional to 7,657.41, 11,473.53 and 4,729.67 is: 7,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.41 : 11,473.53 = 4,729.67 : x
  2. Step 2: Convert to fraction form
    7,657.41/11,473.53 = 4,729.67/x
  3. Step 3: Cross multiply
    7,657.41x = 11,473.53 × 4,729.67
  4. Step 4: Simplify right side
    7,657.41x = 54,266,010.64
  5. Step 5: Solve for x
    x = 54,266,010.64/7,657.41
  6. Step 6: Final answer
    x = 7,086.73

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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.