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Finding the Fourth Proportional to 6,113.83, 8,435.68 and 3,460.66

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Solution

The fourth proportional to 6,113.83, 8,435.68 and 3,460.66 is: 4,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.83 : 8,435.68 = 3,460.66 : x
  2. Step 2: Convert to fraction form
    6,113.83/8,435.68 = 3,460.66/x
  3. Step 3: Cross multiply
    6,113.83x = 8,435.68 × 3,460.66
  4. Step 4: Simplify right side
    6,113.83x = 29,193,020.35
  5. Step 5: Solve for x
    x = 29,193,020.35/6,113.83
  6. Step 6: Final answer
    x = 4,774.92

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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.