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Finding the Fourth Proportional to 11,802.98, 17,705.28 and 4,010.78

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Solution

The fourth proportional to 11,802.98, 17,705.28 and 4,010.78 is: 6,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.98 : 17,705.28 = 4,010.78 : x
  2. Step 2: Convert to fraction form
    11,802.98/17,705.28 = 4,010.78/x
  3. Step 3: Cross multiply
    11,802.98x = 17,705.28 × 4,010.78
  4. Step 4: Simplify right side
    11,802.98x = 71,011,982.92
  5. Step 5: Solve for x
    x = 71,011,982.92/11,802.98
  6. Step 6: Final answer
    x = 6,016.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.