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Finding the Fourth Proportional to 7,277.53, 10,907.16 and 3,112.64

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Solution

The fourth proportional to 7,277.53, 10,907.16 and 3,112.64 is: 4,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.53 : 10,907.16 = 3,112.64 : x
  2. Step 2: Convert to fraction form
    7,277.53/10,907.16 = 3,112.64/x
  3. Step 3: Cross multiply
    7,277.53x = 10,907.16 × 3,112.64
  4. Step 4: Simplify right side
    7,277.53x = 33,950,062.50
  5. Step 5: Solve for x
    x = 33,950,062.50/7,277.53
  6. Step 6: Final answer
    x = 4,665.05

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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.