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Finding the Fourth Proportional to 7,870.88, 11,806.69 and 2,606.37

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Solution

The fourth proportional to 7,870.88, 11,806.69 and 2,606.37 is: 3,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.88 : 11,806.69 = 2,606.37 : x
  2. Step 2: Convert to fraction form
    7,870.88/11,806.69 = 2,606.37/x
  3. Step 3: Cross multiply
    7,870.88x = 11,806.69 × 2,606.37
  4. Step 4: Simplify right side
    7,870.88x = 30,772,602.62
  5. Step 5: Solve for x
    x = 30,772,602.62/7,870.88
  6. Step 6: Final answer
    x = 3,909.68

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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.