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Finding the Fourth Proportional to 10,966.39, 16,450.64 and 3,068.92

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Solution

The fourth proportional to 10,966.39, 16,450.64 and 3,068.92 is: 4,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.39 : 16,450.64 = 3,068.92 : x
  2. Step 2: Convert to fraction form
    10,966.39/16,450.64 = 3,068.92/x
  3. Step 3: Cross multiply
    10,966.39x = 16,450.64 × 3,068.92
  4. Step 4: Simplify right side
    10,966.39x = 50,485,698.11
  5. Step 5: Solve for x
    x = 50,485,698.11/10,966.39
  6. Step 6: Final answer
    x = 4,603.68

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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.