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Finding the Fourth Proportional to 11,853, 16,358.58 and 6,885

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Solution

The fourth proportional to 11,853, 16,358.58 and 6,885 is: 9,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 16,358.58 = 6,885 : x
  2. Step 2: Convert to fraction form
    11,853/16,358.58 = 6,885/x
  3. Step 3: Cross multiply
    11,853x = 16,358.58 × 6,885
  4. Step 4: Simplify right side
    11,853x = 112,628,823.30
  5. Step 5: Solve for x
    x = 112,628,823.30/11,853
  6. Step 6: Final answer
    x = 9,502.14

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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.