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Finding the Fourth Proportional to 6,113.64, 8,436.49 and 3,460.62

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Solution

The fourth proportional to 6,113.64, 8,436.49 and 3,460.62 is: 4,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.64 : 8,436.49 = 3,460.62 : x
  2. Step 2: Convert to fraction form
    6,113.64/8,436.49 = 3,460.62/x
  3. Step 3: Cross multiply
    6,113.64x = 8,436.49 × 3,460.62
  4. Step 4: Simplify right side
    6,113.64x = 29,195,486.02
  5. Step 5: Solve for x
    x = 29,195,486.02/6,113.64
  6. Step 6: Final answer
    x = 4,775.47

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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.