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Finding the Fourth Proportional to 10,793, 14,899.20 and 8,003.36

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Solution

The fourth proportional to 10,793, 14,899.20 and 8,003.36 is: 11,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793 : 14,899.20 = 8,003.36 : x
  2. Step 2: Convert to fraction form
    10,793/14,899.20 = 8,003.36/x
  3. Step 3: Cross multiply
    10,793x = 14,899.20 × 8,003.36
  4. Step 4: Simplify right side
    10,793x = 119,243,661.31
  5. Step 5: Solve for x
    x = 119,243,661.31/10,793
  6. Step 6: Final answer
    x = 11,048.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.