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Finding the Fourth Proportional to 10,678.42, 16,021.05 and 4,833.46

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Solution

The fourth proportional to 10,678.42, 16,021.05 and 4,833.46 is: 7,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.42 : 16,021.05 = 4,833.46 : x
  2. Step 2: Convert to fraction form
    10,678.42/16,021.05 = 4,833.46/x
  3. Step 3: Cross multiply
    10,678.42x = 16,021.05 × 4,833.46
  4. Step 4: Simplify right side
    10,678.42x = 77,437,104.33
  5. Step 5: Solve for x
    x = 77,437,104.33/10,678.42
  6. Step 6: Final answer
    x = 7,251.74

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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.