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Finding the Fourth Proportional to 27,596.70, 41,382.60 and 7,870.57

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Solution

The fourth proportional to 27,596.70, 41,382.60 and 7,870.57 is: 11,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.70 : 41,382.60 = 7,870.57 : x
  2. Step 2: Convert to fraction form
    27,596.70/41,382.60 = 7,870.57/x
  3. Step 3: Cross multiply
    27,596.70x = 41,382.60 × 7,870.57
  4. Step 4: Simplify right side
    27,596.70x = 325,704,517.11
  5. Step 5: Solve for x
    x = 325,704,517.11/27,596.70
  6. Step 6: Final answer
    x = 11,802.30

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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.