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Finding the Fourth Proportional to 10,964.16, 16,446.44 and 3,065.84

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Solution

The fourth proportional to 10,964.16, 16,446.44 and 3,065.84 is: 4,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.16 : 16,446.44 = 3,065.84 : x
  2. Step 2: Convert to fraction form
    10,964.16/16,446.44 = 3,065.84/x
  3. Step 3: Cross multiply
    10,964.16x = 16,446.44 × 3,065.84
  4. Step 4: Simplify right side
    10,964.16x = 50,422,153.61
  5. Step 5: Solve for x
    x = 50,422,153.61/10,964.16
  6. Step 6: Final answer
    x = 4,598.82

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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.