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Finding the Fourth Proportional to 25,311.46, 37,970.82 and 7,782.76

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Solution

The fourth proportional to 25,311.46, 37,970.82 and 7,782.76 is: 11,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.46 : 37,970.82 = 7,782.76 : x
  2. Step 2: Convert to fraction form
    25,311.46/37,970.82 = 7,782.76/x
  3. Step 3: Cross multiply
    25,311.46x = 37,970.82 × 7,782.76
  4. Step 4: Simplify right side
    25,311.46x = 295,517,779.06
  5. Step 5: Solve for x
    x = 295,517,779.06/25,311.46
  6. Step 6: Final answer
    x = 11,675.26

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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.