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Finding the Fourth Proportional to 11,222.74, 15,488.07 and 6,186.96

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Solution

The fourth proportional to 11,222.74, 15,488.07 and 6,186.96 is: 8,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.74 : 15,488.07 = 6,186.96 : x
  2. Step 2: Convert to fraction form
    11,222.74/15,488.07 = 6,186.96/x
  3. Step 3: Cross multiply
    11,222.74x = 15,488.07 × 6,186.96
  4. Step 4: Simplify right side
    11,222.74x = 95,824,038.63
  5. Step 5: Solve for x
    x = 95,824,038.63/11,222.74
  6. Step 6: Final answer
    x = 8,538.39

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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.