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Finding the Fourth Proportional to 11,663.84, 17,490.69 and 3,342.02

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Solution

The fourth proportional to 11,663.84, 17,490.69 and 3,342.02 is: 5,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.84 : 17,490.69 = 3,342.02 : x
  2. Step 2: Convert to fraction form
    11,663.84/17,490.69 = 3,342.02/x
  3. Step 3: Cross multiply
    11,663.84x = 17,490.69 × 3,342.02
  4. Step 4: Simplify right side
    11,663.84x = 58,454,235.79
  5. Step 5: Solve for x
    x = 58,454,235.79/11,663.84
  6. Step 6: Final answer
    x = 5,011.58

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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.