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Finding the Fourth Proportional to 10,520.14, 14,517.18 and 5,804.41

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Solution

The fourth proportional to 10,520.14, 14,517.18 and 5,804.41 is: 8,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.14 : 14,517.18 = 5,804.41 : x
  2. Step 2: Convert to fraction form
    10,520.14/14,517.18 = 5,804.41/x
  3. Step 3: Cross multiply
    10,520.14x = 14,517.18 × 5,804.41
  4. Step 4: Simplify right side
    10,520.14x = 84,263,664.76
  5. Step 5: Solve for x
    x = 84,263,664.76/10,520.14
  6. Step 6: Final answer
    x = 8,009.75

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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.