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Finding the Fourth Proportional to 7,409.44, 11,118.80 and 3,851.92

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Solution

The fourth proportional to 7,409.44, 11,118.80 and 3,851.92 is: 5,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.44 : 11,118.80 = 3,851.92 : x
  2. Step 2: Convert to fraction form
    7,409.44/11,118.80 = 3,851.92/x
  3. Step 3: Cross multiply
    7,409.44x = 11,118.80 × 3,851.92
  4. Step 4: Simplify right side
    7,409.44x = 42,828,728.10
  5. Step 5: Solve for x
    x = 42,828,728.10/7,409.44
  6. Step 6: Final answer
    x = 5,780.29

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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.