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Finding the Fourth Proportional to 8,127.76, 12,188.14 and 3,127.12

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Solution

The fourth proportional to 8,127.76, 12,188.14 and 3,127.12 is: 4,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.76 : 12,188.14 = 3,127.12 : x
  2. Step 2: Convert to fraction form
    8,127.76/12,188.14 = 3,127.12/x
  3. Step 3: Cross multiply
    8,127.76x = 12,188.14 × 3,127.12
  4. Step 4: Simplify right side
    8,127.76x = 38,113,776.36
  5. Step 5: Solve for x
    x = 38,113,776.36/8,127.76
  6. Step 6: Final answer
    x = 4,689.33

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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.