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Finding the Fourth Proportional to 7,783.41, 10,741.43 and 4,426.82

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Solution

The fourth proportional to 7,783.41, 10,741.43 and 4,426.82 is: 6,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.41 : 10,741.43 = 4,426.82 : x
  2. Step 2: Convert to fraction form
    7,783.41/10,741.43 = 4,426.82/x
  3. Step 3: Cross multiply
    7,783.41x = 10,741.43 × 4,426.82
  4. Step 4: Simplify right side
    7,783.41x = 47,550,301.31
  5. Step 5: Solve for x
    x = 47,550,301.31/7,783.41
  6. Step 6: Final answer
    x = 6,109.19

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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.