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Finding the Fourth Proportional to 11,444.84, 17,176.00 and 5,205.06

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Solution

The fourth proportional to 11,444.84, 17,176.00 and 5,205.06 is: 7,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.84 : 17,176.00 = 5,205.06 : x
  2. Step 2: Convert to fraction form
    11,444.84/17,176.00 = 5,205.06/x
  3. Step 3: Cross multiply
    11,444.84x = 17,176.00 × 5,205.06
  4. Step 4: Simplify right side
    11,444.84x = 89,402,107.31
  5. Step 5: Solve for x
    x = 89,402,107.31/11,444.84
  6. Step 6: Final answer
    x = 7,811.56

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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.