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Finding the Fourth Proportional to 10,815.66, 16,223.38 and 3,420.12

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Solution

The fourth proportional to 10,815.66, 16,223.38 and 3,420.12 is: 5,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.66 : 16,223.38 = 3,420.12 : x
  2. Step 2: Convert to fraction form
    10,815.66/16,223.38 = 3,420.12/x
  3. Step 3: Cross multiply
    10,815.66x = 16,223.38 × 3,420.12
  4. Step 4: Simplify right side
    10,815.66x = 55,485,825.29
  5. Step 5: Solve for x
    x = 55,485,825.29/10,815.66
  6. Step 6: Final answer
    x = 5,130.14

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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.