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Finding the Fourth Proportional to 11,816.84, 17,708.55 and 6,554.17

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Solution

The fourth proportional to 11,816.84, 17,708.55 and 6,554.17 is: 9,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.84 : 17,708.55 = 6,554.17 : x
  2. Step 2: Convert to fraction form
    11,816.84/17,708.55 = 6,554.17/x
  3. Step 3: Cross multiply
    11,816.84x = 17,708.55 × 6,554.17
  4. Step 4: Simplify right side
    11,816.84x = 116,064,802.88
  5. Step 5: Solve for x
    x = 116,064,802.88/11,816.84
  6. Step 6: Final answer
    x = 9,821.99

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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.