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Finding the Fourth Proportional to 6,752.80, 10,129.20 and 4,638.70

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Solution

The fourth proportional to 6,752.80, 10,129.20 and 4,638.70 is: 6,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.80 : 10,129.20 = 4,638.70 : x
  2. Step 2: Convert to fraction form
    6,752.80/10,129.20 = 4,638.70/x
  3. Step 3: Cross multiply
    6,752.80x = 10,129.20 × 4,638.70
  4. Step 4: Simplify right side
    6,752.80x = 46,986,320.04
  5. Step 5: Solve for x
    x = 46,986,320.04/6,752.80
  6. Step 6: Final answer
    x = 6,958.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.