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Finding the Fourth Proportional to 10,929.67, 16,382.09 and 9,610.87

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Solution

The fourth proportional to 10,929.67, 16,382.09 and 9,610.87 is: 14,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.67 : 16,382.09 = 9,610.87 : x
  2. Step 2: Convert to fraction form
    10,929.67/16,382.09 = 9,610.87/x
  3. Step 3: Cross multiply
    10,929.67x = 16,382.09 × 9,610.87
  4. Step 4: Simplify right side
    10,929.67x = 157,446,137.32
  5. Step 5: Solve for x
    x = 157,446,137.32/10,929.67
  6. Step 6: Final answer
    x = 14,405.39

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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.