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Finding the Fourth Proportional to 10,396.55, 15,601.00 and 3,827.35

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Solution

The fourth proportional to 10,396.55, 15,601.00 and 3,827.35 is: 5,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.55 : 15,601.00 = 3,827.35 : x
  2. Step 2: Convert to fraction form
    10,396.55/15,601.00 = 3,827.35/x
  3. Step 3: Cross multiply
    10,396.55x = 15,601.00 × 3,827.35
  4. Step 4: Simplify right side
    10,396.55x = 59,710,390.21
  5. Step 5: Solve for x
    x = 59,710,390.21/10,396.55
  6. Step 6: Final answer
    x = 5,743.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.