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Finding the Fourth Proportional to 6,104.30, 8,420.89 and 4,111.40

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Solution

The fourth proportional to 6,104.30, 8,420.89 and 4,111.40 is: 5,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.30 : 8,420.89 = 4,111.40 : x
  2. Step 2: Convert to fraction form
    6,104.30/8,420.89 = 4,111.40/x
  3. Step 3: Cross multiply
    6,104.30x = 8,420.89 × 4,111.40
  4. Step 4: Simplify right side
    6,104.30x = 34,621,594.76
  5. Step 5: Solve for x
    x = 34,621,594.76/6,104.30
  6. Step 6: Final answer
    x = 5,671.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.