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Finding the Fourth Proportional to 11,235.35, 15,504.76 and 6,199.57

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Solution

The fourth proportional to 11,235.35, 15,504.76 and 6,199.57 is: 8,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.35 : 15,504.76 = 6,199.57 : x
  2. Step 2: Convert to fraction form
    11,235.35/15,504.76 = 6,199.57/x
  3. Step 3: Cross multiply
    11,235.35x = 15,504.76 × 6,199.57
  4. Step 4: Simplify right side
    11,235.35x = 96,122,802.31
  5. Step 5: Solve for x
    x = 96,122,802.31/11,235.35
  6. Step 6: Final answer
    x = 8,555.39

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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.