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Finding the Fourth Proportional to 7,137.42, 10,696.38 and 4,018.92

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Solution

The fourth proportional to 7,137.42, 10,696.38 and 4,018.92 is: 6,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.42 : 10,696.38 = 4,018.92 : x
  2. Step 2: Convert to fraction form
    7,137.42/10,696.38 = 4,018.92/x
  3. Step 3: Cross multiply
    7,137.42x = 10,696.38 × 4,018.92
  4. Step 4: Simplify right side
    7,137.42x = 42,987,895.51
  5. Step 5: Solve for x
    x = 42,987,895.51/7,137.42
  6. Step 6: Final answer
    x = 6,022.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.