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Finding the Fourth Proportional to 6,113.70, 8,437.10 and 3,461.05

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Solution

The fourth proportional to 6,113.70, 8,437.10 and 3,461.05 is: 4,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.70 : 8,437.10 = 3,461.05 : x
  2. Step 2: Convert to fraction form
    6,113.70/8,437.10 = 3,461.05/x
  3. Step 3: Cross multiply
    6,113.70x = 8,437.10 × 3,461.05
  4. Step 4: Simplify right side
    6,113.70x = 29,201,224.96
  5. Step 5: Solve for x
    x = 29,201,224.96/6,113.70
  6. Step 6: Final answer
    x = 4,776.36

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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.