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Finding the Fourth Proportional to 10,508.94, 14,503.23 and 5,794.13

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Solution

The fourth proportional to 10,508.94, 14,503.23 and 5,794.13 is: 7,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.94 : 14,503.23 = 5,794.13 : x
  2. Step 2: Convert to fraction form
    10,508.94/14,503.23 = 5,794.13/x
  3. Step 3: Cross multiply
    10,508.94x = 14,503.23 × 5,794.13
  4. Step 4: Simplify right side
    10,508.94x = 84,033,527.52
  5. Step 5: Solve for x
    x = 84,033,527.52/10,508.94
  6. Step 6: Final answer
    x = 7,996.38

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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.