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Finding the Fourth Proportional to 11,412.80, 17,128.80 and 5,574.40

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Solution

The fourth proportional to 11,412.80, 17,128.80 and 5,574.40 is: 8,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.80 : 17,128.80 = 5,574.40 : x
  2. Step 2: Convert to fraction form
    11,412.80/17,128.80 = 5,574.40/x
  3. Step 3: Cross multiply
    11,412.80x = 17,128.80 × 5,574.40
  4. Step 4: Simplify right side
    11,412.80x = 95,482,782.72
  5. Step 5: Solve for x
    x = 95,482,782.72/11,412.80
  6. Step 6: Final answer
    x = 8,366.29

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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.