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Finding the Fourth Proportional to 7,698.65, 11,552.42 and 4,189.02

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Solution

The fourth proportional to 7,698.65, 11,552.42 and 4,189.02 is: 6,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.65 : 11,552.42 = 4,189.02 : x
  2. Step 2: Convert to fraction form
    7,698.65/11,552.42 = 4,189.02/x
  3. Step 3: Cross multiply
    7,698.65x = 11,552.42 × 4,189.02
  4. Step 4: Simplify right side
    7,698.65x = 48,393,285.58
  5. Step 5: Solve for x
    x = 48,393,285.58/7,698.65
  6. Step 6: Final answer
    x = 6,285.95

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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.