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Finding the Fourth Proportional to 11,653.20, 17,473.59 and 5,409.99

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Solution

The fourth proportional to 11,653.20, 17,473.59 and 5,409.99 is: 8,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.20 : 17,473.59 = 5,409.99 : x
  2. Step 2: Convert to fraction form
    11,653.20/17,473.59 = 5,409.99/x
  3. Step 3: Cross multiply
    11,653.20x = 17,473.59 × 5,409.99
  4. Step 4: Simplify right side
    11,653.20x = 94,531,947.16
  5. Step 5: Solve for x
    x = 94,531,947.16/11,653.20
  6. Step 6: Final answer
    x = 8,112.10

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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.