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Finding the Fourth Proportional to 7,870.72, 11,806.36 and 2,675.92

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Solution

The fourth proportional to 7,870.72, 11,806.36 and 2,675.92 is: 4,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.72 : 11,806.36 = 2,675.92 : x
  2. Step 2: Convert to fraction form
    7,870.72/11,806.36 = 2,675.92/x
  3. Step 3: Cross multiply
    7,870.72x = 11,806.36 × 2,675.92
  4. Step 4: Simplify right side
    7,870.72x = 31,592,874.85
  5. Step 5: Solve for x
    x = 31,592,874.85/7,870.72
  6. Step 6: Final answer
    x = 4,013.98

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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.