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Finding the Fourth Proportional to 11,833.79, 16,328.34 and 7,118.37

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Solution

The fourth proportional to 11,833.79, 16,328.34 and 7,118.37 is: 9,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.79 : 16,328.34 = 7,118.37 : x
  2. Step 2: Convert to fraction form
    11,833.79/16,328.34 = 7,118.37/x
  3. Step 3: Cross multiply
    11,833.79x = 16,328.34 × 7,118.37
  4. Step 4: Simplify right side
    11,833.79x = 116,231,165.61
  5. Step 5: Solve for x
    x = 116,231,165.61/11,833.79
  6. Step 6: Final answer
    x = 9,821.98

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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.