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Finding the Fourth Proportional to 10,391.70, 15,589.62 and 2,996.22

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Solution

The fourth proportional to 10,391.70, 15,589.62 and 2,996.22 is: 4,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.70 : 15,589.62 = 2,996.22 : x
  2. Step 2: Convert to fraction form
    10,391.70/15,589.62 = 2,996.22/x
  3. Step 3: Cross multiply
    10,391.70x = 15,589.62 × 2,996.22
  4. Step 4: Simplify right side
    10,391.70x = 46,709,931.24
  5. Step 5: Solve for x
    x = 46,709,931.24/10,391.70
  6. Step 6: Final answer
    x = 4,494.93

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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.