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Finding the Fourth Proportional to 7,707.96, 11,559.30 and 2,512.64

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Solution

The fourth proportional to 7,707.96, 11,559.30 and 2,512.64 is: 3,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.96 : 11,559.30 = 2,512.64 : x
  2. Step 2: Convert to fraction form
    7,707.96/11,559.30 = 2,512.64/x
  3. Step 3: Cross multiply
    7,707.96x = 11,559.30 × 2,512.64
  4. Step 4: Simplify right side
    7,707.96x = 29,044,359.55
  5. Step 5: Solve for x
    x = 29,044,359.55/7,707.96
  6. Step 6: Final answer
    x = 3,768.10

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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.