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Finding the Fourth Proportional to 8,337.24, 11,506.41 and 5,351.99

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Solution

The fourth proportional to 8,337.24, 11,506.41 and 5,351.99 is: 7,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.24 : 11,506.41 = 5,351.99 : x
  2. Step 2: Convert to fraction form
    8,337.24/11,506.41 = 5,351.99/x
  3. Step 3: Cross multiply
    8,337.24x = 11,506.41 × 5,351.99
  4. Step 4: Simplify right side
    8,337.24x = 61,582,133.72
  5. Step 5: Solve for x
    x = 61,582,133.72/8,337.24
  6. Step 6: Final answer
    x = 7,386.39

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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.