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Finding the Fourth Proportional to 11,032, 16,547.99 and 7,759.73

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Solution

The fourth proportional to 11,032, 16,547.99 and 7,759.73 is: 11,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032 : 16,547.99 = 7,759.73 : x
  2. Step 2: Convert to fraction form
    11,032/16,547.99 = 7,759.73/x
  3. Step 3: Cross multiply
    11,032x = 16,547.99 × 7,759.73
  4. Step 4: Simplify right side
    11,032x = 128,407,934.44
  5. Step 5: Solve for x
    x = 128,407,934.44/11,032
  6. Step 6: Final answer
    x = 11,639.59

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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.