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Finding the Fourth Proportional to 8,411.86, 11,607.81 and 4,874.44

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Solution

The fourth proportional to 8,411.86, 11,607.81 and 4,874.44 is: 6,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.86 : 11,607.81 = 4,874.44 : x
  2. Step 2: Convert to fraction form
    8,411.86/11,607.81 = 4,874.44/x
  3. Step 3: Cross multiply
    8,411.86x = 11,607.81 × 4,874.44
  4. Step 4: Simplify right side
    8,411.86x = 56,581,573.38
  5. Step 5: Solve for x
    x = 56,581,573.38/8,411.86
  6. Step 6: Final answer
    x = 6,726.40

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Why These Related Problems?

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