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Finding the Fourth Proportional to 11,396.43, 15,726.92 and 6,681.15

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Solution

The fourth proportional to 11,396.43, 15,726.92 and 6,681.15 is: 9,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.43 : 15,726.92 = 6,681.15 : x
  2. Step 2: Convert to fraction form
    11,396.43/15,726.92 = 6,681.15/x
  3. Step 3: Cross multiply
    11,396.43x = 15,726.92 × 6,681.15
  4. Step 4: Simplify right side
    11,396.43x = 105,073,878.15
  5. Step 5: Solve for x
    x = 105,073,878.15/11,396.43
  6. Step 6: Final answer
    x = 9,219.89

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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.