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Finding the Fourth Proportional to 8,289.14, 11,438.89 and 4,752.14

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Solution

The fourth proportional to 8,289.14, 11,438.89 and 4,752.14 is: 6,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.14 : 11,438.89 = 4,752.14 : x
  2. Step 2: Convert to fraction form
    8,289.14/11,438.89 = 4,752.14/x
  3. Step 3: Cross multiply
    8,289.14x = 11,438.89 × 4,752.14
  4. Step 4: Simplify right side
    8,289.14x = 54,359,137.65
  5. Step 5: Solve for x
    x = 54,359,137.65/8,289.14
  6. Step 6: Final answer
    x = 6,557.88

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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.