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Finding the Fourth Proportional to 10,694.66, 16,041.92 and 2,903.46

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Solution

The fourth proportional to 10,694.66, 16,041.92 and 2,903.46 is: 4,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.66 : 16,041.92 = 2,903.46 : x
  2. Step 2: Convert to fraction form
    10,694.66/16,041.92 = 2,903.46/x
  3. Step 3: Cross multiply
    10,694.66x = 16,041.92 × 2,903.46
  4. Step 4: Simplify right side
    10,694.66x = 46,577,073.04
  5. Step 5: Solve for x
    x = 46,577,073.04/10,694.66
  6. Step 6: Final answer
    x = 4,355.17

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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.