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Finding the Fourth Proportional to 10,909.46, 15,053.40 and 6,128.49

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Solution

The fourth proportional to 10,909.46, 15,053.40 and 6,128.49 is: 8,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.46 : 15,053.40 = 6,128.49 : x
  2. Step 2: Convert to fraction form
    10,909.46/15,053.40 = 6,128.49/x
  3. Step 3: Cross multiply
    10,909.46x = 15,053.40 × 6,128.49
  4. Step 4: Simplify right side
    10,909.46x = 92,254,611.37
  5. Step 5: Solve for x
    x = 92,254,611.37/10,909.46
  6. Step 6: Final answer
    x = 8,456.39

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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.