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Finding the Fourth Proportional to 11,437.44, 15,782.28 and 6,401.92

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Solution

The fourth proportional to 11,437.44, 15,782.28 and 6,401.92 is: 8,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.44 : 15,782.28 = 6,401.92 : x
  2. Step 2: Convert to fraction form
    11,437.44/15,782.28 = 6,401.92/x
  3. Step 3: Cross multiply
    11,437.44x = 15,782.28 × 6,401.92
  4. Step 4: Simplify right side
    11,437.44x = 101,036,893.98
  5. Step 5: Solve for x
    x = 101,036,893.98/11,437.44
  6. Step 6: Final answer
    x = 8,833.87

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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.