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Finding the Fourth Proportional to 7,932.60, 10,946.82 and 4,575.40

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Solution

The fourth proportional to 7,932.60, 10,946.82 and 4,575.40 is: 6,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.60 : 10,946.82 = 4,575.40 : x
  2. Step 2: Convert to fraction form
    7,932.60/10,946.82 = 4,575.40/x
  3. Step 3: Cross multiply
    7,932.60x = 10,946.82 × 4,575.40
  4. Step 4: Simplify right side
    7,932.60x = 50,086,080.23
  5. Step 5: Solve for x
    x = 50,086,080.23/7,932.60
  6. Step 6: Final answer
    x = 6,313.96

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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.