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Finding the Fourth Proportional to 7,097.94, 10,641.72 and 3,402.78

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Solution

The fourth proportional to 7,097.94, 10,641.72 and 3,402.78 is: 5,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.94 : 10,641.72 = 3,402.78 : x
  2. Step 2: Convert to fraction form
    7,097.94/10,641.72 = 3,402.78/x
  3. Step 3: Cross multiply
    7,097.94x = 10,641.72 × 3,402.78
  4. Step 4: Simplify right side
    7,097.94x = 36,211,431.98
  5. Step 5: Solve for x
    x = 36,211,431.98/7,097.94
  6. Step 6: Final answer
    x = 5,101.68

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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.