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Finding the Fourth Proportional to 11,336, 17,006.43 and 4,767.71

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Solution

The fourth proportional to 11,336, 17,006.43 and 4,767.71 is: 7,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336 : 17,006.43 = 4,767.71 : x
  2. Step 2: Convert to fraction form
    11,336/17,006.43 = 4,767.71/x
  3. Step 3: Cross multiply
    11,336x = 17,006.43 × 4,767.71
  4. Step 4: Simplify right side
    11,336x = 81,081,726.38
  5. Step 5: Solve for x
    x = 81,081,726.38/11,336
  6. Step 6: Final answer
    x = 7,152.59

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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.