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Finding the Fourth Proportional to 11,289.28, 16,853.13 and 9,813.48

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Solution

The fourth proportional to 11,289.28, 16,853.13 and 9,813.48 is: 14,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.28 : 16,853.13 = 9,813.48 : x
  2. Step 2: Convert to fraction form
    11,289.28/16,853.13 = 9,813.48/x
  3. Step 3: Cross multiply
    11,289.28x = 16,853.13 × 9,813.48
  4. Step 4: Simplify right side
    11,289.28x = 165,387,854.19
  5. Step 5: Solve for x
    x = 165,387,854.19/11,289.28
  6. Step 6: Final answer
    x = 14,649.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.