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Finding the Fourth Proportional to 10,289.75, 15,434.67 and 4,133.75

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Solution

The fourth proportional to 10,289.75, 15,434.67 and 4,133.75 is: 6,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.75 : 15,434.67 = 4,133.75 : x
  2. Step 2: Convert to fraction form
    10,289.75/15,434.67 = 4,133.75/x
  3. Step 3: Cross multiply
    10,289.75x = 15,434.67 × 4,133.75
  4. Step 4: Simplify right side
    10,289.75x = 63,803,067.11
  5. Step 5: Solve for x
    x = 63,803,067.11/10,289.75
  6. Step 6: Final answer
    x = 6,200.64

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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.