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Finding the Fourth Proportional to 7,631.56, 10,534.74 and 6,458.68

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Solution

The fourth proportional to 7,631.56, 10,534.74 and 6,458.68 is: 8,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.56 : 10,534.74 = 6,458.68 : x
  2. Step 2: Convert to fraction form
    7,631.56/10,534.74 = 6,458.68/x
  3. Step 3: Cross multiply
    7,631.56x = 10,534.74 × 6,458.68
  4. Step 4: Simplify right side
    7,631.56x = 68,040,514.54
  5. Step 5: Solve for x
    x = 68,040,514.54/7,631.56
  6. Step 6: Final answer
    x = 8,915.68

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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.