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Finding the Fourth Proportional to 10,289.84, 14,200.54 and 5,813.78

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Solution

The fourth proportional to 10,289.84, 14,200.54 and 5,813.78 is: 8,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.84 : 14,200.54 = 5,813.78 : x
  2. Step 2: Convert to fraction form
    10,289.84/14,200.54 = 5,813.78/x
  3. Step 3: Cross multiply
    10,289.84x = 14,200.54 × 5,813.78
  4. Step 4: Simplify right side
    10,289.84x = 82,558,836.41
  5. Step 5: Solve for x
    x = 82,558,836.41/10,289.84
  6. Step 6: Final answer
    x = 8,023.33

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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.