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Finding the Fourth Proportional to 10,519.99, 14,517.55 and 5,804.28

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Solution

The fourth proportional to 10,519.99, 14,517.55 and 5,804.28 is: 8,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.99 : 14,517.55 = 5,804.28 : x
  2. Step 2: Convert to fraction form
    10,519.99/14,517.55 = 5,804.28/x
  3. Step 3: Cross multiply
    10,519.99x = 14,517.55 × 5,804.28
  4. Step 4: Simplify right side
    10,519.99x = 84,263,925.11
  5. Step 5: Solve for x
    x = 84,263,925.11/10,519.99
  6. Step 6: Final answer
    x = 8,009.89

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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.