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Finding the Fourth Proportional to 10,370, 14,310.20 and 5,894.34

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Solution

The fourth proportional to 10,370, 14,310.20 and 5,894.34 is: 8,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370 : 14,310.20 = 5,894.34 : x
  2. Step 2: Convert to fraction form
    10,370/14,310.20 = 5,894.34/x
  3. Step 3: Cross multiply
    10,370x = 14,310.20 × 5,894.34
  4. Step 4: Simplify right side
    10,370x = 84,349,184.27
  5. Step 5: Solve for x
    x = 84,349,184.27/10,370
  6. Step 6: Final answer
    x = 8,133.96

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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.