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Finding the Fourth Proportional to 8,184, 12,261.44 and 4,714.08

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Solution

The fourth proportional to 8,184, 12,261.44 and 4,714.08 is: 7,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 12,261.44 = 4,714.08 : x
  2. Step 2: Convert to fraction form
    8,184/12,261.44 = 4,714.08/x
  3. Step 3: Cross multiply
    8,184x = 12,261.44 × 4,714.08
  4. Step 4: Simplify right side
    8,184x = 57,801,409.08
  5. Step 5: Solve for x
    x = 57,801,409.08/8,184
  6. Step 6: Final answer
    x = 7,062.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.