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Finding the Fourth Proportional to 6,113.84, 8,436.66 and 3,461.54

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Solution

The fourth proportional to 6,113.84, 8,436.66 and 3,461.54 is: 4,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.84 : 8,436.66 = 3,461.54 : x
  2. Step 2: Convert to fraction form
    6,113.84/8,436.66 = 3,461.54/x
  3. Step 3: Cross multiply
    6,113.84x = 8,436.66 × 3,461.54
  4. Step 4: Simplify right side
    6,113.84x = 29,203,836.06
  5. Step 5: Solve for x
    x = 29,203,836.06/6,113.84
  6. Step 6: Final answer
    x = 4,776.68

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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.