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Finding the Fourth Proportional to 8,535.72, 12,809.34 and 2,989.10

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Solution

The fourth proportional to 8,535.72, 12,809.34 and 2,989.10 is: 4,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.72 : 12,809.34 = 2,989.10 : x
  2. Step 2: Convert to fraction form
    8,535.72/12,809.34 = 2,989.10/x
  3. Step 3: Cross multiply
    8,535.72x = 12,809.34 × 2,989.10
  4. Step 4: Simplify right side
    8,535.72x = 38,288,398.19
  5. Step 5: Solve for x
    x = 38,288,398.19/8,535.72
  6. Step 6: Final answer
    x = 4,485.67

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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.