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Finding the Fourth Proportional to 7,783.50, 10,741.23 and 4,989

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Solution

The fourth proportional to 7,783.50, 10,741.23 and 4,989 is: 6,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.50 : 10,741.23 = 4,989 : x
  2. Step 2: Convert to fraction form
    7,783.50/10,741.23 = 4,989/x
  3. Step 3: Cross multiply
    7,783.50x = 10,741.23 × 4,989
  4. Step 4: Simplify right side
    7,783.50x = 53,587,996.47
  5. Step 5: Solve for x
    x = 53,587,996.47/7,783.50
  6. Step 6: Final answer
    x = 6,884.82

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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.