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Finding the Fourth Proportional to 11,454.88, 15,811.28 and 6,740

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Solution

The fourth proportional to 11,454.88, 15,811.28 and 6,740 is: 9,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.88 : 15,811.28 = 6,740 : x
  2. Step 2: Convert to fraction form
    11,454.88/15,811.28 = 6,740/x
  3. Step 3: Cross multiply
    11,454.88x = 15,811.28 × 6,740
  4. Step 4: Simplify right side
    11,454.88x = 106,568,027.20
  5. Step 5: Solve for x
    x = 106,568,027.20/11,454.88
  6. Step 6: Final answer
    x = 9,303.29

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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.