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Finding the Fourth Proportional to 8,613.48, 12,921.66 and 3,419.40

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Solution

The fourth proportional to 8,613.48, 12,921.66 and 3,419.40 is: 5,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.48 : 12,921.66 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    8,613.48/12,921.66 = 3,419.40/x
  3. Step 3: Cross multiply
    8,613.48x = 12,921.66 × 3,419.40
  4. Step 4: Simplify right side
    8,613.48x = 44,184,324.20
  5. Step 5: Solve for x
    x = 44,184,324.20/8,613.48
  6. Step 6: Final answer
    x = 5,129.67

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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.