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Finding the Fourth Proportional to 11,498.88, 15,868.26 and 6,783.60

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Solution

The fourth proportional to 11,498.88, 15,868.26 and 6,783.60 is: 9,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.88 : 15,868.26 = 6,783.60 : x
  2. Step 2: Convert to fraction form
    11,498.88/15,868.26 = 6,783.60/x
  3. Step 3: Cross multiply
    11,498.88x = 15,868.26 × 6,783.60
  4. Step 4: Simplify right side
    11,498.88x = 107,643,928.54
  5. Step 5: Solve for x
    x = 107,643,928.54/11,498.88
  6. Step 6: Final answer
    x = 9,361.25

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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.