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Finding the Fourth Proportional to 6,735.54, 10,098.72 and 3,445.95

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Solution

The fourth proportional to 6,735.54, 10,098.72 and 3,445.95 is: 5,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.54 : 10,098.72 = 3,445.95 : x
  2. Step 2: Convert to fraction form
    6,735.54/10,098.72 = 3,445.95/x
  3. Step 3: Cross multiply
    6,735.54x = 10,098.72 × 3,445.95
  4. Step 4: Simplify right side
    6,735.54x = 34,799,684.18
  5. Step 5: Solve for x
    x = 34,799,684.18/6,735.54
  6. Step 6: Final answer
    x = 5,166.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.