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Finding the Fourth Proportional to 10,729.41, 16,064.37 and 8,088.90

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Solution

The fourth proportional to 10,729.41, 16,064.37 and 8,088.90 is: 12,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.41 : 16,064.37 = 8,088.90 : x
  2. Step 2: Convert to fraction form
    10,729.41/16,064.37 = 8,088.90/x
  3. Step 3: Cross multiply
    10,729.41x = 16,064.37 × 8,088.90
  4. Step 4: Simplify right side
    10,729.41x = 129,943,082.49
  5. Step 5: Solve for x
    x = 129,943,082.49/10,729.41
  6. Step 6: Final answer
    x = 12,110.93

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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.