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Finding the Fourth Proportional to 25,284.78, 37,925.75 and 7,754.57

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Solution

The fourth proportional to 25,284.78, 37,925.75 and 7,754.57 is: 11,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.78 : 37,925.75 = 7,754.57 : x
  2. Step 2: Convert to fraction form
    25,284.78/37,925.75 = 7,754.57/x
  3. Step 3: Cross multiply
    25,284.78x = 37,925.75 × 7,754.57
  4. Step 4: Simplify right side
    25,284.78x = 294,097,654.78
  5. Step 5: Solve for x
    x = 294,097,654.78/25,284.78
  6. Step 6: Final answer
    x = 11,631.41

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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.