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Finding the Fourth Proportional to 8,052.18, 11,114.74 and 5,073

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Solution

The fourth proportional to 8,052.18, 11,114.74 and 5,073 is: 7,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.18 : 11,114.74 = 5,073 : x
  2. Step 2: Convert to fraction form
    8,052.18/11,114.74 = 5,073/x
  3. Step 3: Cross multiply
    8,052.18x = 11,114.74 × 5,073
  4. Step 4: Simplify right side
    8,052.18x = 56,385,076.02
  5. Step 5: Solve for x
    x = 56,385,076.02/8,052.18
  6. Step 6: Final answer
    x = 7,002.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.