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Finding the Fourth Proportional to 7,726.64, 11,589.99 and 5,428.40

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Solution

The fourth proportional to 7,726.64, 11,589.99 and 5,428.40 is: 8,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.64 : 11,589.99 = 5,428.40 : x
  2. Step 2: Convert to fraction form
    7,726.64/11,589.99 = 5,428.40/x
  3. Step 3: Cross multiply
    7,726.64x = 11,589.99 × 5,428.40
  4. Step 4: Simplify right side
    7,726.64x = 62,915,101.72
  5. Step 5: Solve for x
    x = 62,915,101.72/7,726.64
  6. Step 6: Final answer
    x = 8,142.62

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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.