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Finding the Fourth Proportional to 11,912.34, 16,438.98 and 6,607.15

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Solution

The fourth proportional to 11,912.34, 16,438.98 and 6,607.15 is: 9,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.34 : 16,438.98 = 6,607.15 : x
  2. Step 2: Convert to fraction form
    11,912.34/16,438.98 = 6,607.15/x
  3. Step 3: Cross multiply
    11,912.34x = 16,438.98 × 6,607.15
  4. Step 4: Simplify right side
    11,912.34x = 108,614,806.71
  5. Step 5: Solve for x
    x = 108,614,806.71/11,912.34
  6. Step 6: Final answer
    x = 9,117.84

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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.