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Finding the Fourth Proportional to 7,903.04, 11,862.24 and 3,801.92

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Solution

The fourth proportional to 7,903.04, 11,862.24 and 3,801.92 is: 5,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.04 : 11,862.24 = 3,801.92 : x
  2. Step 2: Convert to fraction form
    7,903.04/11,862.24 = 3,801.92/x
  3. Step 3: Cross multiply
    7,903.04x = 11,862.24 × 3,801.92
  4. Step 4: Simplify right side
    7,903.04x = 45,099,287.50
  5. Step 5: Solve for x
    x = 45,099,287.50/7,903.04
  6. Step 6: Final answer
    x = 5,706.57

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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.