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Finding the Fourth Proportional to 10,950.80, 16,428.62 and 3,159

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Solution

The fourth proportional to 10,950.80, 16,428.62 and 3,159 is: 4,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.80 : 16,428.62 = 3,159 : x
  2. Step 2: Convert to fraction form
    10,950.80/16,428.62 = 3,159/x
  3. Step 3: Cross multiply
    10,950.80x = 16,428.62 × 3,159
  4. Step 4: Simplify right side
    10,950.80x = 51,898,018.48
  5. Step 5: Solve for x
    x = 51,898,018.48/10,950.80
  6. Step 6: Final answer
    x = 4,739.20

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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.