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Finding the Fourth Proportional to 11,193.57, 15,457.50 and 7,221.51

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Solution

The fourth proportional to 11,193.57, 15,457.50 and 7,221.51 is: 9,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.57 : 15,457.50 = 7,221.51 : x
  2. Step 2: Convert to fraction form
    11,193.57/15,457.50 = 7,221.51/x
  3. Step 3: Cross multiply
    11,193.57x = 15,457.50 × 7,221.51
  4. Step 4: Simplify right side
    11,193.57x = 111,626,490.83
  5. Step 5: Solve for x
    x = 111,626,490.83/11,193.57
  6. Step 6: Final answer
    x = 9,972.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.