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Finding the Fourth Proportional to 7,039.86, 10,563.31 and 3,290.07

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Solution

The fourth proportional to 7,039.86, 10,563.31 and 3,290.07 is: 4,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.86 : 10,563.31 = 3,290.07 : x
  2. Step 2: Convert to fraction form
    7,039.86/10,563.31 = 3,290.07/x
  3. Step 3: Cross multiply
    7,039.86x = 10,563.31 × 3,290.07
  4. Step 4: Simplify right side
    7,039.86x = 34,754,013.64
  5. Step 5: Solve for x
    x = 34,754,013.64/7,039.86
  6. Step 6: Final answer
    x = 4,936.75

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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.