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Finding the Fourth Proportional to 7,512.64, 10,367.30 and 4,678.59

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Solution

The fourth proportional to 7,512.64, 10,367.30 and 4,678.59 is: 6,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.64 : 10,367.30 = 4,678.59 : x
  2. Step 2: Convert to fraction form
    7,512.64/10,367.30 = 4,678.59/x
  3. Step 3: Cross multiply
    7,512.64x = 10,367.30 × 4,678.59
  4. Step 4: Simplify right side
    7,512.64x = 48,504,346.11
  5. Step 5: Solve for x
    x = 48,504,346.11/7,512.64
  6. Step 6: Final answer
    x = 6,456.37

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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.