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Finding the Fourth Proportional to 10,289.92, 15,445.68 and 5,676.16

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Solution

The fourth proportional to 10,289.92, 15,445.68 and 5,676.16 is: 8,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.92 : 15,445.68 = 5,676.16 : x
  2. Step 2: Convert to fraction form
    10,289.92/15,445.68 = 5,676.16/x
  3. Step 3: Cross multiply
    10,289.92x = 15,445.68 × 5,676.16
  4. Step 4: Simplify right side
    10,289.92x = 87,672,150.99
  5. Step 5: Solve for x
    x = 87,672,150.99/10,289.92
  6. Step 6: Final answer
    x = 8,520.20

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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.