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Finding the Fourth Proportional to 7,760.15, 11,630.97 and 5,407.41

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Solution

The fourth proportional to 7,760.15, 11,630.97 and 5,407.41 is: 8,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.15 : 11,630.97 = 5,407.41 : x
  2. Step 2: Convert to fraction form
    7,760.15/11,630.97 = 5,407.41/x
  3. Step 3: Cross multiply
    7,760.15x = 11,630.97 × 5,407.41
  4. Step 4: Simplify right side
    7,760.15x = 62,893,423.49
  5. Step 5: Solve for x
    x = 62,893,423.49/7,760.15
  6. Step 6: Final answer
    x = 8,104.67

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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.