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Finding the Fourth Proportional to 7,763.04, 11,629.98 and 6,023.16

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Solution

The fourth proportional to 7,763.04, 11,629.98 and 6,023.16 is: 9,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.04 : 11,629.98 = 6,023.16 : x
  2. Step 2: Convert to fraction form
    7,763.04/11,629.98 = 6,023.16/x
  3. Step 3: Cross multiply
    7,763.04x = 11,629.98 × 6,023.16
  4. Step 4: Simplify right side
    7,763.04x = 70,049,230.34
  5. Step 5: Solve for x
    x = 70,049,230.34/7,763.04
  6. Step 6: Final answer
    x = 9,023.43

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Why These Related Problems?

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