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Finding the Fourth Proportional to 12,701.07, 17,527.62 and 7,664.34

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Solution

The fourth proportional to 12,701.07, 17,527.62 and 7,664.34 is: 10,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.07 : 17,527.62 = 7,664.34 : x
  2. Step 2: Convert to fraction form
    12,701.07/17,527.62 = 7,664.34/x
  3. Step 3: Cross multiply
    12,701.07x = 17,527.62 × 7,664.34
  4. Step 4: Simplify right side
    12,701.07x = 134,337,639.07
  5. Step 5: Solve for x
    x = 134,337,639.07/12,701.07
  6. Step 6: Final answer
    x = 10,576.88

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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.