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Finding the Fourth Proportional to 11,898.22, 17,844.80 and 7,509.82

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Solution

The fourth proportional to 11,898.22, 17,844.80 and 7,509.82 is: 11,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.22 : 17,844.80 = 7,509.82 : x
  2. Step 2: Convert to fraction form
    11,898.22/17,844.80 = 7,509.82/x
  3. Step 3: Cross multiply
    11,898.22x = 17,844.80 × 7,509.82
  4. Step 4: Simplify right side
    11,898.22x = 134,011,235.94
  5. Step 5: Solve for x
    x = 134,011,235.94/11,898.22
  6. Step 6: Final answer
    x = 11,263.13

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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.