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Finding the Fourth Proportional to 11,487.76, 17,233.17 and 3,590.80

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Solution

The fourth proportional to 11,487.76, 17,233.17 and 3,590.80 is: 5,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.76 : 17,233.17 = 3,590.80 : x
  2. Step 2: Convert to fraction form
    11,487.76/17,233.17 = 3,590.80/x
  3. Step 3: Cross multiply
    11,487.76x = 17,233.17 × 3,590.80
  4. Step 4: Simplify right side
    11,487.76x = 61,880,866.84
  5. Step 5: Solve for x
    x = 61,880,866.84/11,487.76
  6. Step 6: Final answer
    x = 5,386.68

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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.