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Finding the Fourth Proportional to 10,519.76, 14,517.36 and 5,804.24

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Solution

The fourth proportional to 10,519.76, 14,517.36 and 5,804.24 is: 8,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.76 : 14,517.36 = 5,804.24 : x
  2. Step 2: Convert to fraction form
    10,519.76/14,517.36 = 5,804.24/x
  3. Step 3: Cross multiply
    10,519.76x = 14,517.36 × 5,804.24
  4. Step 4: Simplify right side
    10,519.76x = 84,262,241.61
  5. Step 5: Solve for x
    x = 84,262,241.61/10,519.76
  6. Step 6: Final answer
    x = 8,009.90

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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.