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Finding the Fourth Proportional to 7,928.40, 11,892.60 and 5,710.80

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Solution

The fourth proportional to 7,928.40, 11,892.60 and 5,710.80 is: 8,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.40 : 11,892.60 = 5,710.80 : x
  2. Step 2: Convert to fraction form
    7,928.40/11,892.60 = 5,710.80/x
  3. Step 3: Cross multiply
    7,928.40x = 11,892.60 × 5,710.80
  4. Step 4: Simplify right side
    7,928.40x = 67,916,260.08
  5. Step 5: Solve for x
    x = 67,916,260.08/7,928.40
  6. Step 6: Final answer
    x = 8,566.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.