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Finding the Fourth Proportional to 11,816.32, 17,728.80 and 4,025.92

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Solution

The fourth proportional to 11,816.32, 17,728.80 and 4,025.92 is: 6,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.32 : 17,728.80 = 4,025.92 : x
  2. Step 2: Convert to fraction form
    11,816.32/17,728.80 = 4,025.92/x
  3. Step 3: Cross multiply
    11,816.32x = 17,728.80 × 4,025.92
  4. Step 4: Simplify right side
    11,816.32x = 71,374,730.50
  5. Step 5: Solve for x
    x = 71,374,730.50/11,816.32
  6. Step 6: Final answer
    x = 6,040.35

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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.