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Finding the Fourth Proportional to 11,802.66, 17,699.87 and 3,480.48

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Solution

The fourth proportional to 11,802.66, 17,699.87 and 3,480.48 is: 5,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.66 : 17,699.87 = 3,480.48 : x
  2. Step 2: Convert to fraction form
    11,802.66/17,699.87 = 3,480.48/x
  3. Step 3: Cross multiply
    11,802.66x = 17,699.87 × 3,480.48
  4. Step 4: Simplify right side
    11,802.66x = 61,604,026.14
  5. Step 5: Solve for x
    x = 61,604,026.14/11,802.66
  6. Step 6: Final answer
    x = 5,219.50

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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.