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Finding the Fourth Proportional to 11,461.92, 15,714.44 and 11,254.56

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Solution

The fourth proportional to 11,461.92, 15,714.44 and 11,254.56 is: 15,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.92 : 15,714.44 = 11,254.56 : x
  2. Step 2: Convert to fraction form
    11,461.92/15,714.44 = 11,254.56/x
  3. Step 3: Cross multiply
    11,461.92x = 15,714.44 × 11,254.56
  4. Step 4: Simplify right side
    11,461.92x = 176,859,107.85
  5. Step 5: Solve for x
    x = 176,859,107.85/11,461.92
  6. Step 6: Final answer
    x = 15,430.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.