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Finding the Fourth Proportional to 6,779.53, 10,123.16 and 5,982.25

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Solution

The fourth proportional to 6,779.53, 10,123.16 and 5,982.25 is: 8,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.53 : 10,123.16 = 5,982.25 : x
  2. Step 2: Convert to fraction form
    6,779.53/10,123.16 = 5,982.25/x
  3. Step 3: Cross multiply
    6,779.53x = 10,123.16 × 5,982.25
  4. Step 4: Simplify right side
    6,779.53x = 60,559,273.91
  5. Step 5: Solve for x
    x = 60,559,273.91/6,779.53
  6. Step 6: Final answer
    x = 8,932.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.