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Finding the Fourth Proportional to 11,812.41, 17,707.65 and 6,614.64

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Solution

The fourth proportional to 11,812.41, 17,707.65 and 6,614.64 is: 9,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.41 : 17,707.65 = 6,614.64 : x
  2. Step 2: Convert to fraction form
    11,812.41/17,707.65 = 6,614.64/x
  3. Step 3: Cross multiply
    11,812.41x = 17,707.65 × 6,614.64
  4. Step 4: Simplify right side
    11,812.41x = 117,129,730.00
  5. Step 5: Solve for x
    x = 117,129,730.00/11,812.41
  6. Step 6: Final answer
    x = 9,915.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.