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Finding the Fourth Proportional to 11,489.68, 15,855.58 and 6,454

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Solution

The fourth proportional to 11,489.68, 15,855.58 and 6,454 is: 8,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.68 : 15,855.58 = 6,454 : x
  2. Step 2: Convert to fraction form
    11,489.68/15,855.58 = 6,454/x
  3. Step 3: Cross multiply
    11,489.68x = 15,855.58 × 6,454
  4. Step 4: Simplify right side
    11,489.68x = 102,331,913.32
  5. Step 5: Solve for x
    x = 102,331,913.32/11,489.68
  6. Step 6: Final answer
    x = 8,906.42

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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.