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Finding the Fourth Proportional to 11,288.34, 15,578.07 and 6,508.19

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Solution

The fourth proportional to 11,288.34, 15,578.07 and 6,508.19 is: 8,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.34 : 15,578.07 = 6,508.19 : x
  2. Step 2: Convert to fraction form
    11,288.34/15,578.07 = 6,508.19/x
  3. Step 3: Cross multiply
    11,288.34x = 15,578.07 × 6,508.19
  4. Step 4: Simplify right side
    11,288.34x = 101,385,078.34
  5. Step 5: Solve for x
    x = 101,385,078.34/11,288.34
  6. Step 6: Final answer
    x = 8,981.40

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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.