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Finding the Fourth Proportional to 11,364.00, 17,048.27 and 3,966.47

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Solution

The fourth proportional to 11,364.00, 17,048.27 and 3,966.47 is: 5,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.00 : 17,048.27 = 3,966.47 : x
  2. Step 2: Convert to fraction form
    11,364.00/17,048.27 = 3,966.47/x
  3. Step 3: Cross multiply
    11,364.00x = 17,048.27 × 3,966.47
  4. Step 4: Simplify right side
    11,364.00x = 67,621,440.11
  5. Step 5: Solve for x
    x = 67,621,440.11/11,364.00
  6. Step 6: Final answer
    x = 5,950.50

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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.