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Finding the Fourth Proportional to 7,225.25, 10,837.89 and 3,941.10

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Solution

The fourth proportional to 7,225.25, 10,837.89 and 3,941.10 is: 5,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.25 : 10,837.89 = 3,941.10 : x
  2. Step 2: Convert to fraction form
    7,225.25/10,837.89 = 3,941.10/x
  3. Step 3: Cross multiply
    7,225.25x = 10,837.89 × 3,941.10
  4. Step 4: Simplify right side
    7,225.25x = 42,713,208.28
  5. Step 5: Solve for x
    x = 42,713,208.28/7,225.25
  6. Step 6: Final answer
    x = 5,911.66

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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.