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Finding the Fourth Proportional to 12,760.17, 17,609.48 and 7,096.52

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Solution

The fourth proportional to 12,760.17, 17,609.48 and 7,096.52 is: 9,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.17 : 17,609.48 = 7,096.52 : x
  2. Step 2: Convert to fraction form
    12,760.17/17,609.48 = 7,096.52/x
  3. Step 3: Cross multiply
    12,760.17x = 17,609.48 × 7,096.52
  4. Step 4: Simplify right side
    12,760.17x = 124,966,027.01
  5. Step 5: Solve for x
    x = 124,966,027.01/12,760.17
  6. Step 6: Final answer
    x = 9,793.45

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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.