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Finding the Fourth Proportional to 10,817.65, 16,228.25 and 3,420.38

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Solution

The fourth proportional to 10,817.65, 16,228.25 and 3,420.38 is: 5,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.65 : 16,228.25 = 3,420.38 : x
  2. Step 2: Convert to fraction form
    10,817.65/16,228.25 = 3,420.38/x
  3. Step 3: Cross multiply
    10,817.65x = 16,228.25 × 3,420.38
  4. Step 4: Simplify right side
    10,817.65x = 55,506,726.75
  5. Step 5: Solve for x
    x = 55,506,726.75/10,817.65
  6. Step 6: Final answer
    x = 5,131.13

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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.