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Finding the Fourth Proportional to 11,549.92, 17,326.47 and 4,153

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Solution

The fourth proportional to 11,549.92, 17,326.47 and 4,153 is: 6,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.92 : 17,326.47 = 4,153 : x
  2. Step 2: Convert to fraction form
    11,549.92/17,326.47 = 4,153/x
  3. Step 3: Cross multiply
    11,549.92x = 17,326.47 × 4,153
  4. Step 4: Simplify right side
    11,549.92x = 71,956,829.91
  5. Step 5: Solve for x
    x = 71,956,829.91/11,549.92
  6. Step 6: Final answer
    x = 6,230.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.