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Finding the Fourth Proportional to 8,563.08, 12,844.20 and 2,719.20

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Solution

The fourth proportional to 8,563.08, 12,844.20 and 2,719.20 is: 4,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.08 : 12,844.20 = 2,719.20 : x
  2. Step 2: Convert to fraction form
    8,563.08/12,844.20 = 2,719.20/x
  3. Step 3: Cross multiply
    8,563.08x = 12,844.20 × 2,719.20
  4. Step 4: Simplify right side
    8,563.08x = 34,925,948.64
  5. Step 5: Solve for x
    x = 34,925,948.64/8,563.08
  6. Step 6: Final answer
    x = 4,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.