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Finding the Fourth Proportional to 10,160.43, 15,235.02 and 3,138.45

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Solution

The fourth proportional to 10,160.43, 15,235.02 and 3,138.45 is: 4,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.43 : 15,235.02 = 3,138.45 : x
  2. Step 2: Convert to fraction form
    10,160.43/15,235.02 = 3,138.45/x
  3. Step 3: Cross multiply
    10,160.43x = 15,235.02 × 3,138.45
  4. Step 4: Simplify right side
    10,160.43x = 47,814,348.52
  5. Step 5: Solve for x
    x = 47,814,348.52/10,160.43
  6. Step 6: Final answer
    x = 4,705.94

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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.