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Finding the Fourth Proportional to 10,825.52, 14,934.78 and 7,289.87

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Solution

The fourth proportional to 10,825.52, 14,934.78 and 7,289.87 is: 10,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.52 : 14,934.78 = 7,289.87 : x
  2. Step 2: Convert to fraction form
    10,825.52/14,934.78 = 7,289.87/x
  3. Step 3: Cross multiply
    10,825.52x = 14,934.78 × 7,289.87
  4. Step 4: Simplify right side
    10,825.52x = 108,872,530.00
  5. Step 5: Solve for x
    x = 108,872,530.00/10,825.52
  6. Step 6: Final answer
    x = 10,057.03

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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.