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Finding the Fourth Proportional to 6,113.96, 8,437.57 and 3,461.20

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Solution

The fourth proportional to 6,113.96, 8,437.57 and 3,461.20 is: 4,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.96 : 8,437.57 = 3,461.20 : x
  2. Step 2: Convert to fraction form
    6,113.96/8,437.57 = 3,461.20/x
  3. Step 3: Cross multiply
    6,113.96x = 8,437.57 × 3,461.20
  4. Step 4: Simplify right side
    6,113.96x = 29,204,117.28
  5. Step 5: Solve for x
    x = 29,204,117.28/6,113.96
  6. Step 6: Final answer
    x = 4,776.63

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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.