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Finding the Fourth Proportional to 27,596.67, 41,390.37 and 7,870.74

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Solution

The fourth proportional to 27,596.67, 41,390.37 and 7,870.74 is: 11,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.67 : 41,390.37 = 7,870.74 : x
  2. Step 2: Convert to fraction form
    27,596.67/41,390.37 = 7,870.74/x
  3. Step 3: Cross multiply
    27,596.67x = 41,390.37 × 7,870.74
  4. Step 4: Simplify right side
    27,596.67x = 325,772,840.77
  5. Step 5: Solve for x
    x = 325,772,840.77/27,596.67
  6. Step 6: Final answer
    x = 11,804.79

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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.