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Finding the Fourth Proportional to 11,424.45, 15,768.27 and 6,947.25

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Solution

The fourth proportional to 11,424.45, 15,768.27 and 6,947.25 is: 9,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.45 : 15,768.27 = 6,947.25 : x
  2. Step 2: Convert to fraction form
    11,424.45/15,768.27 = 6,947.25/x
  3. Step 3: Cross multiply
    11,424.45x = 15,768.27 × 6,947.25
  4. Step 4: Simplify right side
    11,424.45x = 109,546,113.76
  5. Step 5: Solve for x
    x = 109,546,113.76/11,424.45
  6. Step 6: Final answer
    x = 9,588.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.