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Finding the Fourth Proportional to 10,519.50, 14,516.93 and 5,804.10

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Solution

The fourth proportional to 10,519.50, 14,516.93 and 5,804.10 is: 8,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.50 : 14,516.93 = 5,804.10 : x
  2. Step 2: Convert to fraction form
    10,519.50/14,516.93 = 5,804.10/x
  3. Step 3: Cross multiply
    10,519.50x = 14,516.93 × 5,804.10
  4. Step 4: Simplify right side
    10,519.50x = 84,257,684.39
  5. Step 5: Solve for x
    x = 84,257,684.39/10,519.50
  6. Step 6: Final answer
    x = 8,009.67

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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.