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Finding the Fourth Proportional to 8,241.02, 12,368.46 and 3,564.57

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Solution

The fourth proportional to 8,241.02, 12,368.46 and 3,564.57 is: 5,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.02 : 12,368.46 = 3,564.57 : x
  2. Step 2: Convert to fraction form
    8,241.02/12,368.46 = 3,564.57/x
  3. Step 3: Cross multiply
    8,241.02x = 12,368.46 × 3,564.57
  4. Step 4: Simplify right side
    8,241.02x = 44,088,241.46
  5. Step 5: Solve for x
    x = 44,088,241.46/8,241.02
  6. Step 6: Final answer
    x = 5,349.86

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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.