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Finding the Fourth Proportional to 10,772.65, 16,159.34 and 2,980.81

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Solution

The fourth proportional to 10,772.65, 16,159.34 and 2,980.81 is: 4,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.65 : 16,159.34 = 2,980.81 : x
  2. Step 2: Convert to fraction form
    10,772.65/16,159.34 = 2,980.81/x
  3. Step 3: Cross multiply
    10,772.65x = 16,159.34 × 2,980.81
  4. Step 4: Simplify right side
    10,772.65x = 48,167,922.27
  5. Step 5: Solve for x
    x = 48,167,922.27/10,772.65
  6. Step 6: Final answer
    x = 4,471.32

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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.