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Finding the Fourth Proportional to 7,438.56, 10,276.40 and 4,892.40

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Solution

The fourth proportional to 7,438.56, 10,276.40 and 4,892.40 is: 6,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.56 : 10,276.40 = 4,892.40 : x
  2. Step 2: Convert to fraction form
    7,438.56/10,276.40 = 4,892.40/x
  3. Step 3: Cross multiply
    7,438.56x = 10,276.40 × 4,892.40
  4. Step 4: Simplify right side
    7,438.56x = 50,276,259.36
  5. Step 5: Solve for x
    x = 50,276,259.36/7,438.56
  6. Step 6: Final answer
    x = 6,758.87

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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.