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Finding the Fourth Proportional to 7,927.64, 10,940 and 4,390.84

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Solution

The fourth proportional to 7,927.64, 10,940 and 4,390.84 is: 6,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.64 : 10,940 = 4,390.84 : x
  2. Step 2: Convert to fraction form
    7,927.64/10,940 = 4,390.84/x
  3. Step 3: Cross multiply
    7,927.64x = 10,940 × 4,390.84
  4. Step 4: Simplify right side
    7,927.64x = 48,035,789.60
  5. Step 5: Solve for x
    x = 48,035,789.60/7,927.64
  6. Step 6: Final answer
    x = 6,059.28

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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.