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Finding the Fourth Proportional to 10,374.26, 15,524.37 and 8,307.54

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Solution

The fourth proportional to 10,374.26, 15,524.37 and 8,307.54 is: 12,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.26 : 15,524.37 = 8,307.54 : x
  2. Step 2: Convert to fraction form
    10,374.26/15,524.37 = 8,307.54/x
  3. Step 3: Cross multiply
    10,374.26x = 15,524.37 × 8,307.54
  4. Step 4: Simplify right side
    10,374.26x = 128,969,324.75
  5. Step 5: Solve for x
    x = 128,969,324.75/10,374.26
  6. Step 6: Final answer
    x = 12,431.67

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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.