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Finding the Fourth Proportional to 7,694.63, 10,618.59 and 4,382.63

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Solution

The fourth proportional to 7,694.63, 10,618.59 and 4,382.63 is: 6,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.63 : 10,618.59 = 4,382.63 : x
  2. Step 2: Convert to fraction form
    7,694.63/10,618.59 = 4,382.63/x
  3. Step 3: Cross multiply
    7,694.63x = 10,618.59 × 4,382.63
  4. Step 4: Simplify right side
    7,694.63x = 46,537,276.09
  5. Step 5: Solve for x
    x = 46,537,276.09/7,694.63
  6. Step 6: Final answer
    x = 6,048.02

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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.