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Finding the Fourth Proportional to 8,411.68, 11,612.06 and 4,874.23

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Solution

The fourth proportional to 8,411.68, 11,612.06 and 4,874.23 is: 6,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.68 : 11,612.06 = 4,874.23 : x
  2. Step 2: Convert to fraction form
    8,411.68/11,612.06 = 4,874.23/x
  3. Step 3: Cross multiply
    8,411.68x = 11,612.06 × 4,874.23
  4. Step 4: Simplify right side
    8,411.68x = 56,599,851.21
  5. Step 5: Solve for x
    x = 56,599,851.21/8,411.68
  6. Step 6: Final answer
    x = 6,728.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.