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Finding the Fourth Proportional to 11,301.12, 15,594.12 and 6,584.22

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Solution

The fourth proportional to 11,301.12, 15,594.12 and 6,584.22 is: 9,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.12 : 15,594.12 = 6,584.22 : x
  2. Step 2: Convert to fraction form
    11,301.12/15,594.12 = 6,584.22/x
  3. Step 3: Cross multiply
    11,301.12x = 15,594.12 × 6,584.22
  4. Step 4: Simplify right side
    11,301.12x = 102,675,116.79
  5. Step 5: Solve for x
    x = 102,675,116.79/11,301.12
  6. Step 6: Final answer
    x = 9,085.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.