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Finding the Fourth Proportional to 6,160.06, 8,511.75 and 4,564.42

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Solution

The fourth proportional to 6,160.06, 8,511.75 and 4,564.42 is: 6,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.06 : 8,511.75 = 4,564.42 : x
  2. Step 2: Convert to fraction form
    6,160.06/8,511.75 = 4,564.42/x
  3. Step 3: Cross multiply
    6,160.06x = 8,511.75 × 4,564.42
  4. Step 4: Simplify right side
    6,160.06x = 38,851,201.94
  5. Step 5: Solve for x
    x = 38,851,201.94/6,160.06
  6. Step 6: Final answer
    x = 6,306.95

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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.