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Finding the Fourth Proportional to 7,523.56, 10,371.68 and 5,278.46

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Solution

The fourth proportional to 7,523.56, 10,371.68 and 5,278.46 is: 7,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.56 : 10,371.68 = 5,278.46 : x
  2. Step 2: Convert to fraction form
    7,523.56/10,371.68 = 5,278.46/x
  3. Step 3: Cross multiply
    7,523.56x = 10,371.68 × 5,278.46
  4. Step 4: Simplify right side
    7,523.56x = 54,746,498.01
  5. Step 5: Solve for x
    x = 54,746,498.01/7,523.56
  6. Step 6: Final answer
    x = 7,276.67

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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.