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Finding the Fourth Proportional to 8,714.96, 12,026.66 and 4,736.04

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Solution

The fourth proportional to 8,714.96, 12,026.66 and 4,736.04 is: 6,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.96 : 12,026.66 = 4,736.04 : x
  2. Step 2: Convert to fraction form
    8,714.96/12,026.66 = 4,736.04/x
  3. Step 3: Cross multiply
    8,714.96x = 12,026.66 × 4,736.04
  4. Step 4: Simplify right side
    8,714.96x = 56,958,742.83
  5. Step 5: Solve for x
    x = 56,958,742.83/8,714.96
  6. Step 6: Final answer
    x = 6,535.74

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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.