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Finding the Fourth Proportional to 7,137.44, 10,696.40 and 4,018.96

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Solution

The fourth proportional to 7,137.44, 10,696.40 and 4,018.96 is: 6,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.44 : 10,696.40 = 4,018.96 : x
  2. Step 2: Convert to fraction form
    7,137.44/10,696.40 = 4,018.96/x
  3. Step 3: Cross multiply
    7,137.44x = 10,696.40 × 4,018.96
  4. Step 4: Simplify right side
    7,137.44x = 42,988,403.74
  5. Step 5: Solve for x
    x = 42,988,403.74/7,137.44
  6. Step 6: Final answer
    x = 6,022.94

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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.