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Finding the Fourth Proportional to 8,246.40, 12,377.70 and 4,091.10

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Solution

The fourth proportional to 8,246.40, 12,377.70 and 4,091.10 is: 6,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.40 : 12,377.70 = 4,091.10 : x
  2. Step 2: Convert to fraction form
    8,246.40/12,377.70 = 4,091.10/x
  3. Step 3: Cross multiply
    8,246.40x = 12,377.70 × 4,091.10
  4. Step 4: Simplify right side
    8,246.40x = 50,638,408.47
  5. Step 5: Solve for x
    x = 50,638,408.47/8,246.40
  6. Step 6: Final answer
    x = 6,140.67

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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.