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Finding the Fourth Proportional to 11,226.40, 16,807.20 and 6,852.40

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Solution

The fourth proportional to 11,226.40, 16,807.20 and 6,852.40 is: 10,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.40 : 16,807.20 = 6,852.40 : x
  2. Step 2: Convert to fraction form
    11,226.40/16,807.20 = 6,852.40/x
  3. Step 3: Cross multiply
    11,226.40x = 16,807.20 × 6,852.40
  4. Step 4: Simplify right side
    11,226.40x = 115,169,657.28
  5. Step 5: Solve for x
    x = 115,169,657.28/11,226.40
  6. Step 6: Final answer
    x = 10,258.82

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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.