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Finding the Fourth Proportional to 11,586.37, 15,990.20 and 6,551.49

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Solution

The fourth proportional to 11,586.37, 15,990.20 and 6,551.49 is: 9,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.37 : 15,990.20 = 6,551.49 : x
  2. Step 2: Convert to fraction form
    11,586.37/15,990.20 = 6,551.49/x
  3. Step 3: Cross multiply
    11,586.37x = 15,990.20 × 6,551.49
  4. Step 4: Simplify right side
    11,586.37x = 104,759,635.40
  5. Step 5: Solve for x
    x = 104,759,635.40/11,586.37
  6. Step 6: Final answer
    x = 9,041.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.