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Finding the Fourth Proportional to 8,438.20, 11,643.18 and 7,257.40

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Solution

The fourth proportional to 8,438.20, 11,643.18 and 7,257.40 is: 10,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.20 : 11,643.18 = 7,257.40 : x
  2. Step 2: Convert to fraction form
    8,438.20/11,643.18 = 7,257.40/x
  3. Step 3: Cross multiply
    8,438.20x = 11,643.18 × 7,257.40
  4. Step 4: Simplify right side
    8,438.20x = 84,499,214.53
  5. Step 5: Solve for x
    x = 84,499,214.53/8,438.20
  6. Step 6: Final answer
    x = 10,013.89

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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.