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Finding the Fourth Proportional to 7,932.54, 10,946.31 and 4,575.42

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Solution

The fourth proportional to 7,932.54, 10,946.31 and 4,575.42 is: 6,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.54 : 10,946.31 = 4,575.42 : x
  2. Step 2: Convert to fraction form
    7,932.54/10,946.31 = 4,575.42/x
  3. Step 3: Cross multiply
    7,932.54x = 10,946.31 × 4,575.42
  4. Step 4: Simplify right side
    7,932.54x = 50,083,965.70
  5. Step 5: Solve for x
    x = 50,083,965.70/7,932.54
  6. Step 6: Final answer
    x = 6,313.74

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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.