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Finding the Fourth Proportional to 8,095.76, 12,143.48 and 2,901.20

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Solution

The fourth proportional to 8,095.76, 12,143.48 and 2,901.20 is: 4,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.76 : 12,143.48 = 2,901.20 : x
  2. Step 2: Convert to fraction form
    8,095.76/12,143.48 = 2,901.20/x
  3. Step 3: Cross multiply
    8,095.76x = 12,143.48 × 2,901.20
  4. Step 4: Simplify right side
    8,095.76x = 35,230,664.18
  5. Step 5: Solve for x
    x = 35,230,664.18/8,095.76
  6. Step 6: Final answer
    x = 4,351.74

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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.