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Finding the Fourth Proportional to 8,501.76, 12,760.20 and 4,120.74

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Solution

The fourth proportional to 8,501.76, 12,760.20 and 4,120.74 is: 6,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.76 : 12,760.20 = 4,120.74 : x
  2. Step 2: Convert to fraction form
    8,501.76/12,760.20 = 4,120.74/x
  3. Step 3: Cross multiply
    8,501.76x = 12,760.20 × 4,120.74
  4. Step 4: Simplify right side
    8,501.76x = 52,581,466.55
  5. Step 5: Solve for x
    x = 52,581,466.55/8,501.76
  6. Step 6: Final answer
    x = 6,184.77

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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.