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Finding the Fourth Proportional to 10,714.64, 16,078.03 and 5,784.17

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Solution

The fourth proportional to 10,714.64, 16,078.03 and 5,784.17 is: 8,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.64 : 16,078.03 = 5,784.17 : x
  2. Step 2: Convert to fraction form
    10,714.64/16,078.03 = 5,784.17/x
  3. Step 3: Cross multiply
    10,714.64x = 16,078.03 × 5,784.17
  4. Step 4: Simplify right side
    10,714.64x = 92,998,045.92
  5. Step 5: Solve for x
    x = 92,998,045.92/10,714.64
  6. Step 6: Final answer
    x = 8,679.53

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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.