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Finding the Fourth Proportional to 11,192.51, 15,446.43 and 7,409.21

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Solution

The fourth proportional to 11,192.51, 15,446.43 and 7,409.21 is: 10,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.51 : 15,446.43 = 7,409.21 : x
  2. Step 2: Convert to fraction form
    11,192.51/15,446.43 = 7,409.21/x
  3. Step 3: Cross multiply
    11,192.51x = 15,446.43 × 7,409.21
  4. Step 4: Simplify right side
    11,192.51x = 114,445,766.39
  5. Step 5: Solve for x
    x = 114,445,766.39/11,192.51
  6. Step 6: Final answer
    x = 10,225.21

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