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Finding the Fourth Proportional to 6,176.02, 8,523.16 and 3,381.52

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Solution

The fourth proportional to 6,176.02, 8,523.16 and 3,381.52 is: 4,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.02 : 8,523.16 = 3,381.52 : x
  2. Step 2: Convert to fraction form
    6,176.02/8,523.16 = 3,381.52/x
  3. Step 3: Cross multiply
    6,176.02x = 8,523.16 × 3,381.52
  4. Step 4: Simplify right side
    6,176.02x = 28,821,236.00
  5. Step 5: Solve for x
    x = 28,821,236.00/6,176.02
  6. Step 6: Final answer
    x = 4,666.64

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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.