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Finding the Fourth Proportional to 25,276, 37,914 and 6,808

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Solution

The fourth proportional to 25,276, 37,914 and 6,808 is: 10,212

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276 : 37,914 = 6,808 : x
  2. Step 2: Convert to fraction form
    25,276/37,914 = 6,808/x
  3. Step 3: Cross multiply
    25,276x = 37,914 × 6,808
  4. Step 4: Simplify right side
    25,276x = 258,118,512
  5. Step 5: Solve for x
    x = 258,118,512/25,276
  6. Step 6: Final answer
    x = 10,212

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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.