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Finding the Fourth Proportional to 7,907.17, 11,857.27 and 4,208.52

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Solution

The fourth proportional to 7,907.17, 11,857.27 and 4,208.52 is: 6,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.17 : 11,857.27 = 4,208.52 : x
  2. Step 2: Convert to fraction form
    7,907.17/11,857.27 = 4,208.52/x
  3. Step 3: Cross multiply
    7,907.17x = 11,857.27 × 4,208.52
  4. Step 4: Simplify right side
    7,907.17x = 49,901,557.94
  5. Step 5: Solve for x
    x = 49,901,557.94/7,907.17
  6. Step 6: Final answer
    x = 6,310.93

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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.