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Finding the Fourth Proportional to 11,376.80, 17,066.04 and 3,056.80

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Solution

The fourth proportional to 11,376.80, 17,066.04 and 3,056.80 is: 4,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.80 : 17,066.04 = 3,056.80 : x
  2. Step 2: Convert to fraction form
    11,376.80/17,066.04 = 3,056.80/x
  3. Step 3: Cross multiply
    11,376.80x = 17,066.04 × 3,056.80
  4. Step 4: Simplify right side
    11,376.80x = 52,167,471.07
  5. Step 5: Solve for x
    x = 52,167,471.07/11,376.80
  6. Step 6: Final answer
    x = 4,585.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.