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Finding the Fourth Proportional to 11,342.88, 17,008.47 and 5,097.56

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Solution

The fourth proportional to 11,342.88, 17,008.47 and 5,097.56 is: 7,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.88 : 17,008.47 = 5,097.56 : x
  2. Step 2: Convert to fraction form
    11,342.88/17,008.47 = 5,097.56/x
  3. Step 3: Cross multiply
    11,342.88x = 17,008.47 × 5,097.56
  4. Step 4: Simplify right side
    11,342.88x = 86,701,611.29
  5. Step 5: Solve for x
    x = 86,701,611.29/11,342.88
  6. Step 6: Final answer
    x = 7,643.70

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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.