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Finding the Fourth Proportional to 12,011.08, 16,575.01 and 6,706.39

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Solution

The fourth proportional to 12,011.08, 16,575.01 and 6,706.39 is: 9,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.08 : 16,575.01 = 6,706.39 : x
  2. Step 2: Convert to fraction form
    12,011.08/16,575.01 = 6,706.39/x
  3. Step 3: Cross multiply
    12,011.08x = 16,575.01 × 6,706.39
  4. Step 4: Simplify right side
    12,011.08x = 111,158,481.31
  5. Step 5: Solve for x
    x = 111,158,481.31/12,011.08
  6. Step 6: Final answer
    x = 9,254.66

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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.