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Finding the Fourth Proportional to 11,764.84, 17,632.86 and 5,521

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Solution

The fourth proportional to 11,764.84, 17,632.86 and 5,521 is: 8,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.84 : 17,632.86 = 5,521 : x
  2. Step 2: Convert to fraction form
    11,764.84/17,632.86 = 5,521/x
  3. Step 3: Cross multiply
    11,764.84x = 17,632.86 × 5,521
  4. Step 4: Simplify right side
    11,764.84x = 97,351,020.06
  5. Step 5: Solve for x
    x = 97,351,020.06/11,764.84
  6. Step 6: Final answer
    x = 8,274.74

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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.