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Finding the Fourth Proportional to 6,972.94, 10,476.48 and 4,475.20

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Solution

The fourth proportional to 6,972.94, 10,476.48 and 4,475.20 is: 6,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.94 : 10,476.48 = 4,475.20 : x
  2. Step 2: Convert to fraction form
    6,972.94/10,476.48 = 4,475.20/x
  3. Step 3: Cross multiply
    6,972.94x = 10,476.48 × 4,475.20
  4. Step 4: Simplify right side
    6,972.94x = 46,884,343.30
  5. Step 5: Solve for x
    x = 46,884,343.30/6,972.94
  6. Step 6: Final answer
    x = 6,723.76

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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.