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Finding the Fourth Proportional to 11,491.96, 17,203.92 and 7,095.28

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Solution

The fourth proportional to 11,491.96, 17,203.92 and 7,095.28 is: 10,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.96 : 17,203.92 = 7,095.28 : x
  2. Step 2: Convert to fraction form
    11,491.96/17,203.92 = 7,095.28/x
  3. Step 3: Cross multiply
    11,491.96x = 17,203.92 × 7,095.28
  4. Step 4: Simplify right side
    11,491.96x = 122,066,629.50
  5. Step 5: Solve for x
    x = 122,066,629.50/11,491.96
  6. Step 6: Final answer
    x = 10,621.92

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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.