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Finding the Fourth Proportional to 7,189.09, 10,783.68 and 2,509.08

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Solution

The fourth proportional to 7,189.09, 10,783.68 and 2,509.08 is: 3,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.09 : 10,783.68 = 2,509.08 : x
  2. Step 2: Convert to fraction form
    7,189.09/10,783.68 = 2,509.08/x
  3. Step 3: Cross multiply
    7,189.09x = 10,783.68 × 2,509.08
  4. Step 4: Simplify right side
    7,189.09x = 27,057,115.81
  5. Step 5: Solve for x
    x = 27,057,115.81/7,189.09
  6. Step 6: Final answer
    x = 3,763.64

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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.