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Finding the Fourth Proportional to 25,307.46, 37,959.84 and 7,777.44

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Solution

The fourth proportional to 25,307.46, 37,959.84 and 7,777.44 is: 11,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.46 : 37,959.84 = 7,777.44 : x
  2. Step 2: Convert to fraction form
    25,307.46/37,959.84 = 7,777.44/x
  3. Step 3: Cross multiply
    25,307.46x = 37,959.84 × 7,777.44
  4. Step 4: Simplify right side
    25,307.46x = 295,230,378.01
  5. Step 5: Solve for x
    x = 295,230,378.01/25,307.46
  6. Step 6: Final answer
    x = 11,665.75

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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.