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Finding the Fourth Proportional to 11,606.52, 17,412.48 and 3,815.04

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Solution

The fourth proportional to 11,606.52, 17,412.48 and 3,815.04 is: 5,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.52 : 17,412.48 = 3,815.04 : x
  2. Step 2: Convert to fraction form
    11,606.52/17,412.48 = 3,815.04/x
  3. Step 3: Cross multiply
    11,606.52x = 17,412.48 × 3,815.04
  4. Step 4: Simplify right side
    11,606.52x = 66,429,307.70
  5. Step 5: Solve for x
    x = 66,429,307.70/11,606.52
  6. Step 6: Final answer
    x = 5,723.45

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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.