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Finding the Fourth Proportional to 11,881.04, 17,827.96 and 5,725.04

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Solution

The fourth proportional to 11,881.04, 17,827.96 and 5,725.04 is: 8,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.04 : 17,827.96 = 5,725.04 : x
  2. Step 2: Convert to fraction form
    11,881.04/17,827.96 = 5,725.04/x
  3. Step 3: Cross multiply
    11,881.04x = 17,827.96 × 5,725.04
  4. Step 4: Simplify right side
    11,881.04x = 102,065,784.12
  5. Step 5: Solve for x
    x = 102,065,784.12/11,881.04
  6. Step 6: Final answer
    x = 8,590.64

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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.