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Finding the Fourth Proportional to 10,964.50, 16,450.86 and 6,585.10

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Solution

The fourth proportional to 10,964.50, 16,450.86 and 6,585.10 is: 9,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.50 : 16,450.86 = 6,585.10 : x
  2. Step 2: Convert to fraction form
    10,964.50/16,450.86 = 6,585.10/x
  3. Step 3: Cross multiply
    10,964.50x = 16,450.86 × 6,585.10
  4. Step 4: Simplify right side
    10,964.50x = 108,330,558.19
  5. Step 5: Solve for x
    x = 108,330,558.19/10,964.50
  6. Step 6: Final answer
    x = 9,880.12

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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.