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Finding the Fourth Proportional to 11,248.86, 16,809.28 and 8,419.38

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Solution

The fourth proportional to 11,248.86, 16,809.28 and 8,419.38 is: 12,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.86 : 16,809.28 = 8,419.38 : x
  2. Step 2: Convert to fraction form
    11,248.86/16,809.28 = 8,419.38/x
  3. Step 3: Cross multiply
    11,248.86x = 16,809.28 × 8,419.38
  4. Step 4: Simplify right side
    11,248.86x = 141,523,715.85
  5. Step 5: Solve for x
    x = 141,523,715.85/11,248.86
  6. Step 6: Final answer
    x = 12,581.16

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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.