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Finding the Fourth Proportional to 11,003.61, 16,463.50 and 9,676.83

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Solution

The fourth proportional to 11,003.61, 16,463.50 and 9,676.83 is: 14,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.61 : 16,463.50 = 9,676.83 : x
  2. Step 2: Convert to fraction form
    11,003.61/16,463.50 = 9,676.83/x
  3. Step 3: Cross multiply
    11,003.61x = 16,463.50 × 9,676.83
  4. Step 4: Simplify right side
    11,003.61x = 159,314,466.51
  5. Step 5: Solve for x
    x = 159,314,466.51/11,003.61
  6. Step 6: Final answer
    x = 14,478.38

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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.