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Finding the Fourth Proportional to 7,309.43, 10,086.69 and 4,657.69

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Solution

The fourth proportional to 7,309.43, 10,086.69 and 4,657.69 is: 6,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.43 : 10,086.69 = 4,657.69 : x
  2. Step 2: Convert to fraction form
    7,309.43/10,086.69 = 4,657.69/x
  3. Step 3: Cross multiply
    7,309.43x = 10,086.69 × 4,657.69
  4. Step 4: Simplify right side
    7,309.43x = 46,980,675.15
  5. Step 5: Solve for x
    x = 46,980,675.15/7,309.43
  6. Step 6: Final answer
    x = 6,427.41

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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.