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Finding the Fourth Proportional to 10,922.32, 16,369.80 and 4,674.97

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Solution

The fourth proportional to 10,922.32, 16,369.80 and 4,674.97 is: 7,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.32 : 16,369.80 = 4,674.97 : x
  2. Step 2: Convert to fraction form
    10,922.32/16,369.80 = 4,674.97/x
  3. Step 3: Cross multiply
    10,922.32x = 16,369.80 × 4,674.97
  4. Step 4: Simplify right side
    10,922.32x = 76,528,323.91
  5. Step 5: Solve for x
    x = 76,528,323.91/10,922.32
  6. Step 6: Final answer
    x = 7,006.60

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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.