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Finding the Fourth Proportional to 11,188.16, 16,759.20 and 6,560

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Solution

The fourth proportional to 11,188.16, 16,759.20 and 6,560 is: 9,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.16 : 16,759.20 = 6,560 : x
  2. Step 2: Convert to fraction form
    11,188.16/16,759.20 = 6,560/x
  3. Step 3: Cross multiply
    11,188.16x = 16,759.20 × 6,560
  4. Step 4: Simplify right side
    11,188.16x = 109,940,352
  5. Step 5: Solve for x
    x = 109,940,352/11,188.16
  6. Step 6: Final answer
    x = 9,826.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.