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Finding the Fourth Proportional to 10,010.02, 13,814.68 and 5,818

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Solution

The fourth proportional to 10,010.02, 13,814.68 and 5,818 is: 8,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.02 : 13,814.68 = 5,818 : x
  2. Step 2: Convert to fraction form
    10,010.02/13,814.68 = 5,818/x
  3. Step 3: Cross multiply
    10,010.02x = 13,814.68 × 5,818
  4. Step 4: Simplify right side
    10,010.02x = 80,373,808.24
  5. Step 5: Solve for x
    x = 80,373,808.24/10,010.02
  6. Step 6: Final answer
    x = 8,029.34

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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.