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Finding the Fourth Proportional to 10,545, 15,815.89 and 3,969.64

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Solution

The fourth proportional to 10,545, 15,815.89 and 3,969.64 is: 5,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545 : 15,815.89 = 3,969.64 : x
  2. Step 2: Convert to fraction form
    10,545/15,815.89 = 3,969.64/x
  3. Step 3: Cross multiply
    10,545x = 15,815.89 × 3,969.64
  4. Step 4: Simplify right side
    10,545x = 62,783,389.58
  5. Step 5: Solve for x
    x = 62,783,389.58/10,545
  6. Step 6: Final answer
    x = 5,953.85

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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.