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Finding the Fourth Proportional to 7,707.66, 11,559.51 and 3,027.84

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Solution

The fourth proportional to 7,707.66, 11,559.51 and 3,027.84 is: 4,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 11,559.51 = 3,027.84 : x
  2. Step 2: Convert to fraction form
    7,707.66/11,559.51 = 3,027.84/x
  3. Step 3: Cross multiply
    7,707.66x = 11,559.51 × 3,027.84
  4. Step 4: Simplify right side
    7,707.66x = 35,000,346.76
  5. Step 5: Solve for x
    x = 35,000,346.76/7,707.66
  6. Step 6: Final answer
    x = 4,540.98

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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.