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Finding the Fourth Proportional to 11,952.24, 17,903.70 and 7,006.86

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Solution

The fourth proportional to 11,952.24, 17,903.70 and 7,006.86 is: 10,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.24 : 17,903.70 = 7,006.86 : x
  2. Step 2: Convert to fraction form
    11,952.24/17,903.70 = 7,006.86/x
  3. Step 3: Cross multiply
    11,952.24x = 17,903.70 × 7,006.86
  4. Step 4: Simplify right side
    11,952.24x = 125,448,719.38
  5. Step 5: Solve for x
    x = 125,448,719.38/11,952.24
  6. Step 6: Final answer
    x = 10,495.83

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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.