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Finding the Fourth Proportional to 7,763.79, 11,631.11 and 6,023.91

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Solution

The fourth proportional to 7,763.79, 11,631.11 and 6,023.91 is: 9,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.79 : 11,631.11 = 6,023.91 : x
  2. Step 2: Convert to fraction form
    7,763.79/11,631.11 = 6,023.91/x
  3. Step 3: Cross multiply
    7,763.79x = 11,631.11 × 6,023.91
  4. Step 4: Simplify right side
    7,763.79x = 70,064,729.72
  5. Step 5: Solve for x
    x = 70,064,729.72/7,763.79
  6. Step 6: Final answer
    x = 9,024.55

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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.