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Finding the Fourth Proportional to 7,700.94, 10,629.66 and 4,515

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Solution

The fourth proportional to 7,700.94, 10,629.66 and 4,515 is: 6,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.94 : 10,629.66 = 4,515 : x
  2. Step 2: Convert to fraction form
    7,700.94/10,629.66 = 4,515/x
  3. Step 3: Cross multiply
    7,700.94x = 10,629.66 × 4,515
  4. Step 4: Simplify right side
    7,700.94x = 47,992,914.90
  5. Step 5: Solve for x
    x = 47,992,914.90/7,700.94
  6. Step 6: Final answer
    x = 6,232.09

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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.