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Finding the Fourth Proportional to 11,235.12, 16,852.16 and 3,444

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Solution

The fourth proportional to 11,235.12, 16,852.16 and 3,444 is: 5,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.12 : 16,852.16 = 3,444 : x
  2. Step 2: Convert to fraction form
    11,235.12/16,852.16 = 3,444/x
  3. Step 3: Cross multiply
    11,235.12x = 16,852.16 × 3,444
  4. Step 4: Simplify right side
    11,235.12x = 58,038,839.04
  5. Step 5: Solve for x
    x = 58,038,839.04/11,235.12
  6. Step 6: Final answer
    x = 5,165.84

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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.