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Finding the Fourth Proportional to 8,095.86, 12,140.28 and 3,417.96

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Solution

The fourth proportional to 8,095.86, 12,140.28 and 3,417.96 is: 5,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.86 : 12,140.28 = 3,417.96 : x
  2. Step 2: Convert to fraction form
    8,095.86/12,140.28 = 3,417.96/x
  3. Step 3: Cross multiply
    8,095.86x = 12,140.28 × 3,417.96
  4. Step 4: Simplify right side
    8,095.86x = 41,494,991.43
  5. Step 5: Solve for x
    x = 41,494,991.43/8,095.86
  6. Step 6: Final answer
    x = 5,125.46

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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.