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Finding the Fourth Proportional to 7,178.67, 9,907.46 and 4,346.15

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Solution

The fourth proportional to 7,178.67, 9,907.46 and 4,346.15 is: 5,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.67 : 9,907.46 = 4,346.15 : x
  2. Step 2: Convert to fraction form
    7,178.67/9,907.46 = 4,346.15/x
  3. Step 3: Cross multiply
    7,178.67x = 9,907.46 × 4,346.15
  4. Step 4: Simplify right side
    7,178.67x = 43,059,310.32
  5. Step 5: Solve for x
    x = 43,059,310.32/7,178.67
  6. Step 6: Final answer
    x = 5,998.23

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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.