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Finding the Fourth Proportional to 11,200.77, 15,456.65 and 6,164.69

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Solution

The fourth proportional to 11,200.77, 15,456.65 and 6,164.69 is: 8,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.77 : 15,456.65 = 6,164.69 : x
  2. Step 2: Convert to fraction form
    11,200.77/15,456.65 = 6,164.69/x
  3. Step 3: Cross multiply
    11,200.77x = 15,456.65 × 6,164.69
  4. Step 4: Simplify right side
    11,200.77x = 95,285,347.58
  5. Step 5: Solve for x
    x = 95,285,347.58/11,200.77
  6. Step 6: Final answer
    x = 8,507.04

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