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Finding the Fourth Proportional to 7,870.98, 11,806.50 and 2,027.64

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Solution

The fourth proportional to 7,870.98, 11,806.50 and 2,027.64 is: 3,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.98 : 11,806.50 = 2,027.64 : x
  2. Step 2: Convert to fraction form
    7,870.98/11,806.50 = 2,027.64/x
  3. Step 3: Cross multiply
    7,870.98x = 11,806.50 × 2,027.64
  4. Step 4: Simplify right side
    7,870.98x = 23,939,331.66
  5. Step 5: Solve for x
    x = 23,939,331.66/7,870.98
  6. Step 6: Final answer
    x = 3,041.47

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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.