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Finding the Fourth Proportional to 6,753.72, 10,123.14 and 4,561.80

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Solution

The fourth proportional to 6,753.72, 10,123.14 and 4,561.80 is: 6,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.72 : 10,123.14 = 4,561.80 : x
  2. Step 2: Convert to fraction form
    6,753.72/10,123.14 = 4,561.80/x
  3. Step 3: Cross multiply
    6,753.72x = 10,123.14 × 4,561.80
  4. Step 4: Simplify right side
    6,753.72x = 46,179,740.05
  5. Step 5: Solve for x
    x = 46,179,740.05/6,753.72
  6. Step 6: Final answer
    x = 6,837.67

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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.