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Finding the Fourth Proportional to 10,043.76, 13,858.65 and 5,793.84

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Solution

The fourth proportional to 10,043.76, 13,858.65 and 5,793.84 is: 7,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.76 : 13,858.65 = 5,793.84 : x
  2. Step 2: Convert to fraction form
    10,043.76/13,858.65 = 5,793.84/x
  3. Step 3: Cross multiply
    10,043.76x = 13,858.65 × 5,793.84
  4. Step 4: Simplify right side
    10,043.76x = 80,294,800.72
  5. Step 5: Solve for x
    x = 80,294,800.72/10,043.76
  6. Step 6: Final answer
    x = 7,994.50

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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.