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Finding the Fourth Proportional to 6,735.63, 10,097.19 and 3,441.45

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Solution

The fourth proportional to 6,735.63, 10,097.19 and 3,441.45 is: 5,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.63 : 10,097.19 = 3,441.45 : x
  2. Step 2: Convert to fraction form
    6,735.63/10,097.19 = 3,441.45/x
  3. Step 3: Cross multiply
    6,735.63x = 10,097.19 × 3,441.45
  4. Step 4: Simplify right side
    6,735.63x = 34,748,974.53
  5. Step 5: Solve for x
    x = 34,748,974.53/6,735.63
  6. Step 6: Final answer
    x = 5,158.98

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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.