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Finding the Fourth Proportional to 6,863.86, 10,309.62 and 4,095.94

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Solution

The fourth proportional to 6,863.86, 10,309.62 and 4,095.94 is: 6,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.86 : 10,309.62 = 4,095.94 : x
  2. Step 2: Convert to fraction form
    6,863.86/10,309.62 = 4,095.94/x
  3. Step 3: Cross multiply
    6,863.86x = 10,309.62 × 4,095.94
  4. Step 4: Simplify right side
    6,863.86x = 42,227,528.81
  5. Step 5: Solve for x
    x = 42,227,528.81/6,863.86
  6. Step 6: Final answer
    x = 6,152.16

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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.