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Finding the Fourth Proportional to 11,700.84, 17,551.57 and 3,381.13

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Solution

The fourth proportional to 11,700.84, 17,551.57 and 3,381.13 is: 5,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.84 : 17,551.57 = 3,381.13 : x
  2. Step 2: Convert to fraction form
    11,700.84/17,551.57 = 3,381.13/x
  3. Step 3: Cross multiply
    11,700.84x = 17,551.57 × 3,381.13
  4. Step 4: Simplify right side
    11,700.84x = 59,344,139.87
  5. Step 5: Solve for x
    x = 59,344,139.87/11,700.84
  6. Step 6: Final answer
    x = 5,071.78

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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.