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Finding the Fourth Proportional to 10,589.43, 15,946.07 and 7,835.50

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Solution

The fourth proportional to 10,589.43, 15,946.07 and 7,835.50 is: 11,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.43 : 15,946.07 = 7,835.50 : x
  2. Step 2: Convert to fraction form
    10,589.43/15,946.07 = 7,835.50/x
  3. Step 3: Cross multiply
    10,589.43x = 15,946.07 × 7,835.50
  4. Step 4: Simplify right side
    10,589.43x = 124,945,412.24
  5. Step 5: Solve for x
    x = 124,945,412.24/10,589.43
  6. Step 6: Final answer
    x = 11,799.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.