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Finding the Fourth Proportional to 11,574.21, 17,364.06 and 3,783

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Solution

The fourth proportional to 11,574.21, 17,364.06 and 3,783 is: 5,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.21 : 17,364.06 = 3,783 : x
  2. Step 2: Convert to fraction form
    11,574.21/17,364.06 = 3,783/x
  3. Step 3: Cross multiply
    11,574.21x = 17,364.06 × 3,783
  4. Step 4: Simplify right side
    11,574.21x = 65,688,238.98
  5. Step 5: Solve for x
    x = 65,688,238.98/11,574.21
  6. Step 6: Final answer
    x = 5,675.40

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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.