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Finding the Fourth Proportional to 6,000.72, 8,283.25 and 5,158.02

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Solution

The fourth proportional to 6,000.72, 8,283.25 and 5,158.02 is: 7,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.72 : 8,283.25 = 5,158.02 : x
  2. Step 2: Convert to fraction form
    6,000.72/8,283.25 = 5,158.02/x
  3. Step 3: Cross multiply
    6,000.72x = 8,283.25 × 5,158.02
  4. Step 4: Simplify right side
    6,000.72x = 42,725,169.17
  5. Step 5: Solve for x
    x = 42,725,169.17/6,000.72
  6. Step 6: Final answer
    x = 7,120.01

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