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Finding the Fourth Proportional to 10,964.32, 16,446.48 and 4,804

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Solution

The fourth proportional to 10,964.32, 16,446.48 and 4,804 is: 7,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.32 : 16,446.48 = 4,804 : x
  2. Step 2: Convert to fraction form
    10,964.32/16,446.48 = 4,804/x
  3. Step 3: Cross multiply
    10,964.32x = 16,446.48 × 4,804
  4. Step 4: Simplify right side
    10,964.32x = 79,008,889.92
  5. Step 5: Solve for x
    x = 79,008,889.92/10,964.32
  6. Step 6: Final answer
    x = 7,206

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.