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Finding the Fourth Proportional to 7,850.02, 11,763.24 and 7,109.14

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Solution

The fourth proportional to 7,850.02, 11,763.24 and 7,109.14 is: 10,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.02 : 11,763.24 = 7,109.14 : x
  2. Step 2: Convert to fraction form
    7,850.02/11,763.24 = 7,109.14/x
  3. Step 3: Cross multiply
    7,850.02x = 11,763.24 × 7,109.14
  4. Step 4: Simplify right side
    7,850.02x = 83,626,520.01
  5. Step 5: Solve for x
    x = 83,626,520.01/7,850.02
  6. Step 6: Final answer
    x = 10,653.03

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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.