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Finding the Fourth Proportional to 10,396.70, 15,601.23 and 3,827.50

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Solution

The fourth proportional to 10,396.70, 15,601.23 and 3,827.50 is: 5,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.70 : 15,601.23 = 3,827.50 : x
  2. Step 2: Convert to fraction form
    10,396.70/15,601.23 = 3,827.50/x
  3. Step 3: Cross multiply
    10,396.70x = 15,601.23 × 3,827.50
  4. Step 4: Simplify right side
    10,396.70x = 59,713,746.83
  5. Step 5: Solve for x
    x = 59,713,746.83/10,396.70
  6. Step 6: Final answer
    x = 5,743.53

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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.