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Finding the Fourth Proportional to 8,511.76, 12,762.42 and 3,512.58

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Solution

The fourth proportional to 8,511.76, 12,762.42 and 3,512.58 is: 5,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.76 : 12,762.42 = 3,512.58 : x
  2. Step 2: Convert to fraction form
    8,511.76/12,762.42 = 3,512.58/x
  3. Step 3: Cross multiply
    8,511.76x = 12,762.42 × 3,512.58
  4. Step 4: Simplify right side
    8,511.76x = 44,828,989.34
  5. Step 5: Solve for x
    x = 44,828,989.34/8,511.76
  6. Step 6: Final answer
    x = 5,266.72

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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.