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Finding the Fourth Proportional to 11,929.69, 17,894.53 and 4,532.40

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Solution

The fourth proportional to 11,929.69, 17,894.53 and 4,532.40 is: 6,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.69 : 17,894.53 = 4,532.40 : x
  2. Step 2: Convert to fraction form
    11,929.69/17,894.53 = 4,532.40/x
  3. Step 3: Cross multiply
    11,929.69x = 17,894.53 × 4,532.40
  4. Step 4: Simplify right side
    11,929.69x = 81,105,078.30
  5. Step 5: Solve for x
    x = 81,105,078.30/11,929.69
  6. Step 6: Final answer
    x = 6,798.59

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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.