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Finding the Fourth Proportional to 10,676.81, 16,016.13 and 2,885.63

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Solution

The fourth proportional to 10,676.81, 16,016.13 and 2,885.63 is: 4,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.81 : 16,016.13 = 2,885.63 : x
  2. Step 2: Convert to fraction form
    10,676.81/16,016.13 = 2,885.63/x
  3. Step 3: Cross multiply
    10,676.81x = 16,016.13 × 2,885.63
  4. Step 4: Simplify right side
    10,676.81x = 46,216,545.13
  5. Step 5: Solve for x
    x = 46,216,545.13/10,676.81
  6. Step 6: Final answer
    x = 4,328.68

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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.