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Finding the Fourth Proportional to 7,632.70, 10,532.59 and 4,229.68

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Solution

The fourth proportional to 7,632.70, 10,532.59 and 4,229.68 is: 5,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.70 : 10,532.59 = 4,229.68 : x
  2. Step 2: Convert to fraction form
    7,632.70/10,532.59 = 4,229.68/x
  3. Step 3: Cross multiply
    7,632.70x = 10,532.59 × 4,229.68
  4. Step 4: Simplify right side
    7,632.70x = 44,549,485.27
  5. Step 5: Solve for x
    x = 44,549,485.27/7,632.70
  6. Step 6: Final answer
    x = 5,836.66

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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.