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Finding the Fourth Proportional to 8,713.53, 13,045.46 and 5,786.01

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Solution

The fourth proportional to 8,713.53, 13,045.46 and 5,786.01 is: 8,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.53 : 13,045.46 = 5,786.01 : x
  2. Step 2: Convert to fraction form
    8,713.53/13,045.46 = 5,786.01/x
  3. Step 3: Cross multiply
    8,713.53x = 13,045.46 × 5,786.01
  4. Step 4: Simplify right side
    8,713.53x = 75,481,133.08
  5. Step 5: Solve for x
    x = 75,481,133.08/8,713.53
  6. Step 6: Final answer
    x = 8,662.52

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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.