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Finding the Fourth Proportional to 6,076.57, 8,373.17 and 4,660.20

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Solution

The fourth proportional to 6,076.57, 8,373.17 and 4,660.20 is: 6,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.57 : 8,373.17 = 4,660.20 : x
  2. Step 2: Convert to fraction form
    6,076.57/8,373.17 = 4,660.20/x
  3. Step 3: Cross multiply
    6,076.57x = 8,373.17 × 4,660.20
  4. Step 4: Simplify right side
    6,076.57x = 39,020,646.83
  5. Step 5: Solve for x
    x = 39,020,646.83/6,076.57
  6. Step 6: Final answer
    x = 6,421.49

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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.