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Finding the Fourth Proportional to 12,084.71, 16,684.19 and 7,900.25

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Solution

The fourth proportional to 12,084.71, 16,684.19 and 7,900.25 is: 10,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.71 : 16,684.19 = 7,900.25 : x
  2. Step 2: Convert to fraction form
    12,084.71/16,684.19 = 7,900.25/x
  3. Step 3: Cross multiply
    12,084.71x = 16,684.19 × 7,900.25
  4. Step 4: Simplify right side
    12,084.71x = 131,809,149.13
  5. Step 5: Solve for x
    x = 131,809,149.13/12,084.71
  6. Step 6: Final answer
    x = 10,907.11

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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.