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Finding the Fourth Proportional to 7,694.31, 10,618.02 and 4,337.13

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Solution

The fourth proportional to 7,694.31, 10,618.02 and 4,337.13 is: 5,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.31 : 10,618.02 = 4,337.13 : x
  2. Step 2: Convert to fraction form
    7,694.31/10,618.02 = 4,337.13/x
  3. Step 3: Cross multiply
    7,694.31x = 10,618.02 × 4,337.13
  4. Step 4: Simplify right side
    7,694.31x = 46,051,733.08
  5. Step 5: Solve for x
    x = 46,051,733.08/7,694.31
  6. Step 6: Final answer
    x = 5,985.17

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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.