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Finding the Fourth Proportional to 7,668.35, 11,496.45 and 4,205.60

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Solution

The fourth proportional to 7,668.35, 11,496.45 and 4,205.60 is: 6,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.35 : 11,496.45 = 4,205.60 : x
  2. Step 2: Convert to fraction form
    7,668.35/11,496.45 = 4,205.60/x
  3. Step 3: Cross multiply
    7,668.35x = 11,496.45 × 4,205.60
  4. Step 4: Simplify right side
    7,668.35x = 48,349,470.12
  5. Step 5: Solve for x
    x = 48,349,470.12/7,668.35
  6. Step 6: Final answer
    x = 6,305.07

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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.