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Finding the Fourth Proportional to 10,714.99, 16,073 and 5,173.00

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Solution

The fourth proportional to 10,714.99, 16,073 and 5,173.00 is: 7,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.99 : 16,073 = 5,173.00 : x
  2. Step 2: Convert to fraction form
    10,714.99/16,073 = 5,173.00/x
  3. Step 3: Cross multiply
    10,714.99x = 16,073 × 5,173.00
  4. Step 4: Simplify right side
    10,714.99x = 83,145,548.64
  5. Step 5: Solve for x
    x = 83,145,548.64/10,714.99
  6. Step 6: Final answer
    x = 7,759.74

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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.