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Finding the Fourth Proportional to 25,277.32, 37,911.66 and 6,805

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Solution

The fourth proportional to 25,277.32, 37,911.66 and 6,805 is: 10,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277.32 : 37,911.66 = 6,805 : x
  2. Step 2: Convert to fraction form
    25,277.32/37,911.66 = 6,805/x
  3. Step 3: Cross multiply
    25,277.32x = 37,911.66 × 6,805
  4. Step 4: Simplify right side
    25,277.32x = 257,988,846.30
  5. Step 5: Solve for x
    x = 257,988,846.30/25,277.32
  6. Step 6: Final answer
    x = 10,206.34

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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.