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Finding the Fourth Proportional to 11,909.56, 16,427.64 and 7,653.30

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Solution

The fourth proportional to 11,909.56, 16,427.64 and 7,653.30 is: 10,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.56 : 16,427.64 = 7,653.30 : x
  2. Step 2: Convert to fraction form
    11,909.56/16,427.64 = 7,653.30/x
  3. Step 3: Cross multiply
    11,909.56x = 16,427.64 × 7,653.30
  4. Step 4: Simplify right side
    11,909.56x = 125,725,624.31
  5. Step 5: Solve for x
    x = 125,725,624.31/11,909.56
  6. Step 6: Final answer
    x = 10,556.70

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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.