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Finding the Fourth Proportional to 11,866.84, 17,802.77 and 4,471.14

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Solution

The fourth proportional to 11,866.84, 17,802.77 and 4,471.14 is: 6,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.84 : 17,802.77 = 4,471.14 : x
  2. Step 2: Convert to fraction form
    11,866.84/17,802.77 = 4,471.14/x
  3. Step 3: Cross multiply
    11,866.84x = 17,802.77 × 4,471.14
  4. Step 4: Simplify right side
    11,866.84x = 79,598,677.06
  5. Step 5: Solve for x
    x = 79,598,677.06/11,866.84
  6. Step 6: Final answer
    x = 6,707.66

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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.