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Finding the Fourth Proportional to 11,342.37, 17,007.72 and 5,097.05

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Solution

The fourth proportional to 11,342.37, 17,007.72 and 5,097.05 is: 7,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.37 : 17,007.72 = 5,097.05 : x
  2. Step 2: Convert to fraction form
    11,342.37/17,007.72 = 5,097.05/x
  3. Step 3: Cross multiply
    11,342.37x = 17,007.72 × 5,097.05
  4. Step 4: Simplify right side
    11,342.37x = 86,689,199.23
  5. Step 5: Solve for x
    x = 86,689,199.23/11,342.37
  6. Step 6: Final answer
    x = 7,642.95

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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.