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Finding the Fourth Proportional to 10,803.65, 16,189.34 and 9,779.58

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Solution

The fourth proportional to 10,803.65, 16,189.34 and 9,779.58 is: 14,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.65 : 16,189.34 = 9,779.58 : x
  2. Step 2: Convert to fraction form
    10,803.65/16,189.34 = 9,779.58/x
  3. Step 3: Cross multiply
    10,803.65x = 16,189.34 × 9,779.58
  4. Step 4: Simplify right side
    10,803.65x = 158,324,896.78
  5. Step 5: Solve for x
    x = 158,324,896.78/10,803.65
  6. Step 6: Final answer
    x = 14,654.77

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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.