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Finding the Fourth Proportional to 6,147.62, 8,488.46 and 4,729.10

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Solution

The fourth proportional to 6,147.62, 8,488.46 and 4,729.10 is: 6,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.62 : 8,488.46 = 4,729.10 : x
  2. Step 2: Convert to fraction form
    6,147.62/8,488.46 = 4,729.10/x
  3. Step 3: Cross multiply
    6,147.62x = 8,488.46 × 4,729.10
  4. Step 4: Simplify right side
    6,147.62x = 40,142,752.54
  5. Step 5: Solve for x
    x = 40,142,752.54/6,147.62
  6. Step 6: Final answer
    x = 6,529.81

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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.