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Finding the Fourth Proportional to 11,332.00, 17,003.93 and 5,415.56

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Solution

The fourth proportional to 11,332.00, 17,003.93 and 5,415.56 is: 8,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.00 : 17,003.93 = 5,415.56 : x
  2. Step 2: Convert to fraction form
    11,332.00/17,003.93 = 5,415.56/x
  3. Step 3: Cross multiply
    11,332.00x = 17,003.93 × 5,415.56
  4. Step 4: Simplify right side
    11,332.00x = 92,085,754.82
  5. Step 5: Solve for x
    x = 92,085,754.82/11,332.00
  6. Step 6: Final answer
    x = 8,126.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.