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Finding the Fourth Proportional to 7,777.49, 11,673.74 and 7,356.03

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Solution

The fourth proportional to 7,777.49, 11,673.74 and 7,356.03 is: 11,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.49 : 11,673.74 = 7,356.03 : x
  2. Step 2: Convert to fraction form
    7,777.49/11,673.74 = 7,356.03/x
  3. Step 3: Cross multiply
    7,777.49x = 11,673.74 × 7,356.03
  4. Step 4: Simplify right side
    7,777.49x = 85,872,344.87
  5. Step 5: Solve for x
    x = 85,872,344.87/7,777.49
  6. Step 6: Final answer
    x = 11,041.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.