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Finding the Fourth Proportional to 11,137.98, 15,369.80 and 6,101.25

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Solution

The fourth proportional to 11,137.98, 15,369.80 and 6,101.25 is: 8,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.98 : 15,369.80 = 6,101.25 : x
  2. Step 2: Convert to fraction form
    11,137.98/15,369.80 = 6,101.25/x
  3. Step 3: Cross multiply
    11,137.98x = 15,369.80 × 6,101.25
  4. Step 4: Simplify right side
    11,137.98x = 93,774,992.25
  5. Step 5: Solve for x
    x = 93,774,992.25/11,137.98
  6. Step 6: Final answer
    x = 8,419.39

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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.