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Finding the Fourth Proportional to 10,805.38, 16,210.80 and 3,014.19

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Solution

The fourth proportional to 10,805.38, 16,210.80 and 3,014.19 is: 4,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.38 : 16,210.80 = 3,014.19 : x
  2. Step 2: Convert to fraction form
    10,805.38/16,210.80 = 3,014.19/x
  3. Step 3: Cross multiply
    10,805.38x = 16,210.80 × 3,014.19
  4. Step 4: Simplify right side
    10,805.38x = 48,862,431.25
  5. Step 5: Solve for x
    x = 48,862,431.25/10,805.38
  6. Step 6: Final answer
    x = 4,522.05

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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.