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Finding the Fourth Proportional to 7,766.19, 11,655.09 and 3,023.10

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Solution

The fourth proportional to 7,766.19, 11,655.09 and 3,023.10 is: 4,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.19 : 11,655.09 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    7,766.19/11,655.09 = 3,023.10/x
  3. Step 3: Cross multiply
    7,766.19x = 11,655.09 × 3,023.10
  4. Step 4: Simplify right side
    7,766.19x = 35,234,502.58
  5. Step 5: Solve for x
    x = 35,234,502.58/7,766.19
  6. Step 6: Final answer
    x = 4,536.91

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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.