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Finding the Fourth Proportional to 11,143, 16,714.70 and 5,216.60

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Solution

The fourth proportional to 11,143, 16,714.70 and 5,216.60 is: 7,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143 : 16,714.70 = 5,216.60 : x
  2. Step 2: Convert to fraction form
    11,143/16,714.70 = 5,216.60/x
  3. Step 3: Cross multiply
    11,143x = 16,714.70 × 5,216.60
  4. Step 4: Simplify right side
    11,143x = 87,193,904.02
  5. Step 5: Solve for x
    x = 87,193,904.02/11,143
  6. Step 6: Final answer
    x = 7,824.99

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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.