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Finding the Fourth Proportional to 37,858.32, 56,786.28 and 11,562

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Solution

The fourth proportional to 37,858.32, 56,786.28 and 11,562 is: 17,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.32 : 56,786.28 = 11,562 : x
  2. Step 2: Convert to fraction form
    37,858.32/56,786.28 = 11,562/x
  3. Step 3: Cross multiply
    37,858.32x = 56,786.28 × 11,562
  4. Step 4: Simplify right side
    37,858.32x = 656,562,969.36
  5. Step 5: Solve for x
    x = 656,562,969.36/37,858.32
  6. Step 6: Final answer
    x = 17,342.63

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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.