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Finding the Fourth Proportional to 10,295.53, 15,431.37 and 4,737.21

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Solution

The fourth proportional to 10,295.53, 15,431.37 and 4,737.21 is: 7,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.53 : 15,431.37 = 4,737.21 : x
  2. Step 2: Convert to fraction form
    10,295.53/15,431.37 = 4,737.21/x
  3. Step 3: Cross multiply
    10,295.53x = 15,431.37 × 4,737.21
  4. Step 4: Simplify right side
    10,295.53x = 73,101,616.59
  5. Step 5: Solve for x
    x = 73,101,616.59/10,295.53
  6. Step 6: Final answer
    x = 7,100.33

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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.