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Finding the Fourth Proportional to 7,375.64, 10,188.33 and 6,850.76

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Solution

The fourth proportional to 7,375.64, 10,188.33 and 6,850.76 is: 9,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.64 : 10,188.33 = 6,850.76 : x
  2. Step 2: Convert to fraction form
    7,375.64/10,188.33 = 6,850.76/x
  3. Step 3: Cross multiply
    7,375.64x = 10,188.33 × 6,850.76
  4. Step 4: Simplify right side
    7,375.64x = 69,797,803.63
  5. Step 5: Solve for x
    x = 69,797,803.63/7,375.64
  6. Step 6: Final answer
    x = 9,463.29

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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.