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Finding the Fourth Proportional to 12,381.25, 17,084.58 and 7,907.62

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Solution

The fourth proportional to 12,381.25, 17,084.58 and 7,907.62 is: 10,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.25 : 17,084.58 = 7,907.62 : x
  2. Step 2: Convert to fraction form
    12,381.25/17,084.58 = 7,907.62/x
  3. Step 3: Cross multiply
    12,381.25x = 17,084.58 × 7,907.62
  4. Step 4: Simplify right side
    12,381.25x = 135,098,366.50
  5. Step 5: Solve for x
    x = 135,098,366.50/12,381.25
  6. Step 6: Final answer
    x = 10,911.53

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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.