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Finding the Fourth Proportional to 10,572.26, 15,858.45 and 2,781

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Solution

The fourth proportional to 10,572.26, 15,858.45 and 2,781 is: 4,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.26 : 15,858.45 = 2,781 : x
  2. Step 2: Convert to fraction form
    10,572.26/15,858.45 = 2,781/x
  3. Step 3: Cross multiply
    10,572.26x = 15,858.45 × 2,781
  4. Step 4: Simplify right side
    10,572.26x = 44,102,349.45
  5. Step 5: Solve for x
    x = 44,102,349.45/10,572.26
  6. Step 6: Final answer
    x = 4,171.52

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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.