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Finding the Fourth Proportional to 7,494.68, 10,342.99 and 4,309.00

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Solution

The fourth proportional to 7,494.68, 10,342.99 and 4,309.00 is: 5,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.68 : 10,342.99 = 4,309.00 : x
  2. Step 2: Convert to fraction form
    7,494.68/10,342.99 = 4,309.00/x
  3. Step 3: Cross multiply
    7,494.68x = 10,342.99 × 4,309.00
  4. Step 4: Simplify right side
    7,494.68x = 44,567,946.07
  5. Step 5: Solve for x
    x = 44,567,946.07/7,494.68
  6. Step 6: Final answer
    x = 5,946.61

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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.