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Finding the Fourth Proportional to 7,644.06, 11,477.03 and 5,675.76

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Solution

The fourth proportional to 7,644.06, 11,477.03 and 5,675.76 is: 8,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.06 : 11,477.03 = 5,675.76 : x
  2. Step 2: Convert to fraction form
    7,644.06/11,477.03 = 5,675.76/x
  3. Step 3: Cross multiply
    7,644.06x = 11,477.03 × 5,675.76
  4. Step 4: Simplify right side
    7,644.06x = 65,140,839.41
  5. Step 5: Solve for x
    x = 65,140,839.41/7,644.06
  6. Step 6: Final answer
    x = 8,521.76

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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.